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Finding the Third Proportional to 250,332 and 387,380

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Solution

The third proportional to 250,332 and 387,380 is: 599,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,332 : 387,380 = 387,380 : x
  2. Step 2: Convert to fraction form
    250,332/387,380 = 387,380/x
  3. Step 3: Cross multiply
    250,332x = 387,380 × 387,380
  4. Step 4: Simplify right side
    250,332x = 150,063,264,400
  5. Step 5: Solve for x
    x = 150,063,264,400/250,332
  6. Step 6: Final answer
    x = 599,456.98

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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.