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Finding the Third Proportional to 250,497 and 387,414

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Solution

The third proportional to 250,497 and 387,414 is: 599,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,497 : 387,414 = 387,414 : x
  2. Step 2: Convert to fraction form
    250,497/387,414 = 387,414/x
  3. Step 3: Cross multiply
    250,497x = 387,414 × 387,414
  4. Step 4: Simplify right side
    250,497x = 150,089,607,396
  5. Step 5: Solve for x
    x = 150,089,607,396/250,497
  6. Step 6: Final answer
    x = 599,167.29

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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.