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Finding the Third Proportional to 472,766 and 707,478

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Solution

The third proportional to 472,766 and 707,478 is: 1,058,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,766 : 707,478 = 707,478 : x
  2. Step 2: Convert to fraction form
    472,766/707,478 = 707,478/x
  3. Step 3: Cross multiply
    472,766x = 707,478 × 707,478
  4. Step 4: Simplify right side
    472,766x = 500,525,120,484
  5. Step 5: Solve for x
    x = 500,525,120,484/472,766
  6. Step 6: Final answer
    x = 1,058,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.