The correct answer to this open question is the following.
Although there are no options attached we can say the following.
We can help you to answer this question based on our knowledge of the topic.
The relationship between Conservation Movement and progressive politicians during the Progressive Era was the conservationists supported the progressives to demand a series of changes that could benefit the United States.
In the particular case of the Conservation Movement, conservationists demanded the federal government its intervention to keep the natural resources of the country. US President Theodore Roosevelt backed the proposition and was known as the greatest conservationist.
The problem had been that during the 1800s, industries overexploited the raw materials and naturals resources of the United States. That is why the Conservationists Movement demanded to put a stop to major industries and a most responsible way to use natural resources
Let's remember that the Progressive movement was "an attempt to address the problems associated with the Gilded Age.