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Finding the Third Proportional to 250,325 and 387,371

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Solution

The third proportional to 250,325 and 387,371 is: 599,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,325 : 387,371 = 387,371 : x
  2. Step 2: Convert to fraction form
    250,325/387,371 = 387,371/x
  3. Step 3: Cross multiply
    250,325x = 387,371 × 387,371
  4. Step 4: Simplify right side
    250,325x = 150,056,291,641
  5. Step 5: Solve for x
    x = 150,056,291,641/250,325
  6. Step 6: Final answer
    x = 599,445.89

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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.