March on is a common phrase that is often used to describe the act of moving forward with resolution and determination. However, there are many varied synonyms that can be used in place of this phrase to convey a similar sense of momentum and progress. For instance, words like advance, proceed, continue, make headway, push forward, and forge ahead can all be used to capture the feeling of moving forward in a resolute and focused way. Each of these synonyms offers varying connotations and shades of meaning, but all have the underlying sense of pressing onward with determination and strength.