Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
BANK OF AMERICA CORP /DE/
  2. Issuer Name and Ticker or Trading Symbol
BLACKROCK MUNIYIELD QUALITY FUND III, INC [MYI]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director __X__ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
BANK OF AMERICA CORPORATE CENTER, 100 N. TRYON STREET
3. Date of Earliest Transaction (Month/Day/Year)
05/16/2011
(Street)

CHARLOTTE, NC 28255
4. If Amendment, Date Original Filed(Month/Day/Year)
6. Individual or Joint/Group Filing(Check Applicable Line)
___ Form filed by One Reporting Person
_X_ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)
2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)
4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)
5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)
6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)
7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock 05/16/2011   P   150 A $ 12.28 150 I By Subsidiary
Common Stock 05/16/2011   S   150 D $ 12.41 0 I By Subsidiary
Common Stock 05/18/2011   P   482 A $ 12.43 482 I By Subsidiary
Common Stock 05/18/2011   S   100 D $ 12.4 382 I By Subsidiary
Common Stock 05/18/2011   S   382 D $ 12.42 0 I By Subsidiary
Common Stock 06/15/2011   P   4,601 A $ 12.52 4,601 I By Subsidiary
Common Stock 06/15/2011   S   4,601 D $ 12.55 0 I By Subsidiary

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)
2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)
5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)
6. Date Exercisable and Expiration Date
(Month/Day/Year)
7. Title and Amount of Underlying Securities
(Instr. 3 and 4)
8. Price of Derivative Security
(Instr. 5)
9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)
10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)
11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
BANK OF AMERICA CORP /DE/
BANK OF AMERICA CORPORATE CENTER
100 N. TRYON STREET
CHARLOTTE, NC 28255
    X    
MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
4 WORLD FINANCIAL CENTER NORTH TOWER
NEW YORK, NY 10080
    X    

Signatures

 Bank of America Corporation, By: /s/ Gary Whitman, Authorized Signatory   07/11/2011
**Signature of Reporting Person Date

 Merrill Lynch, Pierce, Fenner & Smith Incorporated, By: Lawrence Emerson, Title: Attorney-In-Fact   07/11/2011
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
 
Remarks:
The transactions reported on this Form 4 were effected by Merrill Lynch, Pierce, Fenner & Smith Incorporated, an indirect, wholly owned subsidiary of Bank of America Corporation.

Disgorgement of profits, if applicable, based on transactions reported above is being made by the Reporting Persons to the Issuer.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

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