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Finding the Third Proportional to 207,500 and 452,692

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Solution

The third proportional to 207,500 and 452,692 is: 987,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,500 : 452,692 = 452,692 : x
  2. Step 2: Convert to fraction form
    207,500/452,692 = 452,692/x
  3. Step 3: Cross multiply
    207,500x = 452,692 × 452,692
  4. Step 4: Simplify right side
    207,500x = 204,930,046,864
  5. Step 5: Solve for x
    x = 204,930,046,864/207,500
  6. Step 6: Final answer
    x = 987,614.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.