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Finding the Third Proportional to 250,508 and 387,966

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Solution

The third proportional to 250,508 and 387,966 is: 600,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,508 : 387,966 = 387,966 : x
  2. Step 2: Convert to fraction form
    250,508/387,966 = 387,966/x
  3. Step 3: Cross multiply
    250,508x = 387,966 × 387,966
  4. Step 4: Simplify right side
    250,508x = 150,517,617,156
  5. Step 5: Solve for x
    x = 150,517,617,156/250,508
  6. Step 6: Final answer
    x = 600,849.54

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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.