Correct project given change of direction at the end (6)

I believe the answer is:

proper

'correct' is the definition.
(associated in meaning)

I don't understand the rest of the clue.

(Other definitions for proper that I've seen before include "Genuine; correct" , "Appropriate according to rules" , "Authentic" , "Seemly" , "Appropiate, right" .)

I've seen this clue in The Times.

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