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Finding the Third Proportional to 267,956 and 363,892

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Solution

The third proportional to 267,956 and 363,892 is: 494,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,956 : 363,892 = 363,892 : x
  2. Step 2: Convert to fraction form
    267,956/363,892 = 363,892/x
  3. Step 3: Cross multiply
    267,956x = 363,892 × 363,892
  4. Step 4: Simplify right side
    267,956x = 132,417,387,664
  5. Step 5: Solve for x
    x = 132,417,387,664/267,956
  6. Step 6: Final answer
    x = 494,175.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.