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Finding the Third Proportional to 415,802 and 632,451

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Solution

The third proportional to 415,802 and 632,451 is: 961,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,802 : 632,451 = 632,451 : x
  2. Step 2: Convert to fraction form
    415,802/632,451 = 632,451/x
  3. Step 3: Cross multiply
    415,802x = 632,451 × 632,451
  4. Step 4: Simplify right side
    415,802x = 399,994,267,401
  5. Step 5: Solve for x
    x = 399,994,267,401/415,802
  6. Step 6: Final answer
    x = 961,982.55

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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.