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Finding the Third Proportional to 363,251.25 and 566,952.75

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Solution

The third proportional to 363,251.25 and 566,952.75 is: 884,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,251.25 : 566,952.75 = 566,952.75 : x
  2. Step 2: Convert to fraction form
    363,251.25/566,952.75 = 566,952.75/x
  3. Step 3: Cross multiply
    363,251.25x = 566,952.75 × 566,952.75
  4. Step 4: Simplify right side
    363,251.25x = 321,435,420,732.56
  5. Step 5: Solve for x
    x = 321,435,420,732.56/363,251.25
  6. Step 6: Final answer
    x = 884,884.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.