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Finding the Third Proportional to 394,848 and 635,876

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Solution

The third proportional to 394,848 and 635,876 is: 1,024,035.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,848 : 635,876 = 635,876 : x
  2. Step 2: Convert to fraction form
    394,848/635,876 = 635,876/x
  3. Step 3: Cross multiply
    394,848x = 635,876 × 635,876
  4. Step 4: Simplify right side
    394,848x = 404,338,287,376
  5. Step 5: Solve for x
    x = 404,338,287,376/394,848
  6. Step 6: Final answer
    x = 1,024,035.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.