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Finding the Third Proportional to 250,327 and 387,374

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Solution

The third proportional to 250,327 and 387,374 is: 599,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,327 : 387,374 = 387,374 : x
  2. Step 2: Convert to fraction form
    250,327/387,374 = 387,374/x
  3. Step 3: Cross multiply
    250,327x = 387,374 × 387,374
  4. Step 4: Simplify right side
    250,327x = 150,058,615,876
  5. Step 5: Solve for x
    x = 150,058,615,876/250,327
  6. Step 6: Final answer
    x = 599,450.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.