follow through vs put through

follow through and put through both are verbs.

Word	Noun	Adjective	Verb	Adverb
follow through	No	No	Yes	No
put through	No	No	Yes	No

As verbs, follow through and put through are synonyms defined as:

follow through and put through: pursue to a conclusion or bring to a successful issue

Other synonyms of follow through include carry out, follow out, follow up, go through with, implement.

follow through (verb)	put through (verb)
pursue to a conclusion or bring to a successful issue	pursue to a conclusion or bring to a successful issue
carry a stroke to natural completion after hitting or releasing a ball	connect by telephone