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Finding the Third Proportional to 418,100 and 628,092

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Solution

The third proportional to 418,100 and 628,092 is: 943,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,100 : 628,092 = 628,092 : x
  2. Step 2: Convert to fraction form
    418,100/628,092 = 628,092/x
  3. Step 3: Cross multiply
    418,100x = 628,092 × 628,092
  4. Step 4: Simplify right side
    418,100x = 394,499,560,464
  5. Step 5: Solve for x
    x = 394,499,560,464/418,100
  6. Step 6: Final answer
    x = 943,553.12

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