1. To move close enough within an area around someone or something to reach or be reached by them or it. We readied our guns as we moved within range of the elephant. Once he moves within range of the microphone, we'll be able to capture anything he says on tape. You have to move within range of the camera or it won't be able to focus on you properly.

2. To advance to a position that allows one to achieve or accomplish something. Following the massive success of our latest product, we should be moving within range of achieving our sales forecast for the entire year. Following a third consecutive debate victory, the candidate seems to have moved within range of winning this election.