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Finding the Third Proportional to 250,540 and 387,772

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Solution

The third proportional to 250,540 and 387,772 is: 600,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,540 : 387,772 = 387,772 : x
  2. Step 2: Convert to fraction form
    250,540/387,772 = 387,772/x
  3. Step 3: Cross multiply
    250,540x = 387,772 × 387,772
  4. Step 4: Simplify right side
    250,540x = 150,367,123,984
  5. Step 5: Solve for x
    x = 150,367,123,984/250,540
  6. Step 6: Final answer
    x = 600,172.12

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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.