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Finding the Third Proportional to 267,108 and 399,814

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Solution

The third proportional to 267,108 and 399,814 is: 598,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,108 : 399,814 = 399,814 : x
  2. Step 2: Convert to fraction form
    267,108/399,814 = 399,814/x
  3. Step 3: Cross multiply
    267,108x = 399,814 × 399,814
  4. Step 4: Simplify right side
    267,108x = 159,851,234,596
  5. Step 5: Solve for x
    x = 159,851,234,596/267,108
  6. Step 6: Final answer
    x = 598,451.69

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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.