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Finding the Third Proportional to 572,067 and 776,937

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Solution

The third proportional to 572,067 and 776,937 is: 1,055,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,067 : 776,937 = 776,937 : x
  2. Step 2: Convert to fraction form
    572,067/776,937 = 776,937/x
  3. Step 3: Cross multiply
    572,067x = 776,937 × 776,937
  4. Step 4: Simplify right side
    572,067x = 603,631,101,969
  5. Step 5: Solve for x
    x = 603,631,101,969/572,067
  6. Step 6: Final answer
    x = 1,055,175.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.