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Finding the Third Proportional to 418,008 and 636,792

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Solution

The third proportional to 418,008 and 636,792 is: 970,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,008 : 636,792 = 636,792 : x
  2. Step 2: Convert to fraction form
    418,008/636,792 = 636,792/x
  3. Step 3: Cross multiply
    418,008x = 636,792 × 636,792
  4. Step 4: Simplify right side
    418,008x = 405,504,051,264
  5. Step 5: Solve for x
    x = 405,504,051,264/418,008
  6. Step 6: Final answer
    x = 970,086.82

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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.