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Finding the Third Proportional to 267,110 and 399,817

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Solution

The third proportional to 267,110 and 399,817 is: 598,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,110 : 399,817 = 399,817 : x
  2. Step 2: Convert to fraction form
    267,110/399,817 = 399,817/x
  3. Step 3: Cross multiply
    267,110x = 399,817 × 399,817
  4. Step 4: Simplify right side
    267,110x = 159,853,633,489
  5. Step 5: Solve for x
    x = 159,853,633,489/267,110
  6. Step 6: Final answer
    x = 598,456.19

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Why These Related Problems?

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