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Finding the Third Proportional to 267,471 and 396,783

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Solution

The third proportional to 267,471 and 396,783 is: 588,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,471 : 396,783 = 396,783 : x
  2. Step 2: Convert to fraction form
    267,471/396,783 = 396,783/x
  3. Step 3: Cross multiply
    267,471x = 396,783 × 396,783
  4. Step 4: Simplify right side
    267,471x = 157,436,749,089
  5. Step 5: Solve for x
    x = 157,436,749,089/267,471
  6. Step 6: Final answer
    x = 588,612.41

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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.