1. follow through, follow up, follow out, carry out, implement, put through, go through, complete, finish
usage: pursue to a conclusion or bring to a successful issue; "Did he go through with the treatment?"; "He implemented a new economic plan"; "She followed up his recommendations with a written proposal"
2. put through, connect, link, tie, link up
usage: connect by telephone; "the operator put a call through to Rio"