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Finding the Third Proportional to 472,792 and 717,932

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Solution

The third proportional to 472,792 and 717,932 is: 1,090,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,792 : 717,932 = 717,932 : x
  2. Step 2: Convert to fraction form
    472,792/717,932 = 717,932/x
  3. Step 3: Cross multiply
    472,792x = 717,932 × 717,932
  4. Step 4: Simplify right side
    472,792x = 515,426,356,624
  5. Step 5: Solve for x
    x = 515,426,356,624/472,792
  6. Step 6: Final answer
    x = 1,090,175.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.