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Finding the Third Proportional to 267,479 and 396,795

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Solution

The third proportional to 267,479 and 396,795 is: 588,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,479 : 396,795 = 396,795 : x
  2. Step 2: Convert to fraction form
    267,479/396,795 = 396,795/x
  3. Step 3: Cross multiply
    267,479x = 396,795 × 396,795
  4. Step 4: Simplify right side
    267,479x = 157,446,272,025
  5. Step 5: Solve for x
    x = 157,446,272,025/267,479
  6. Step 6: Final answer
    x = 588,630.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.