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Finding the Third Proportional to 250,332 and 387,382

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Solution

The third proportional to 250,332 and 387,382 is: 599,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,332 : 387,382 = 387,382 : x
  2. Step 2: Convert to fraction form
    250,332/387,382 = 387,382/x
  3. Step 3: Cross multiply
    250,332x = 387,382 × 387,382
  4. Step 4: Simplify right side
    250,332x = 150,064,813,924
  5. Step 5: Solve for x
    x = 150,064,813,924/250,332
  6. Step 6: Final answer
    x = 599,463.17

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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.