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Finding the Third Proportional to 324,251.25 and 517,998.38

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Solution

The third proportional to 324,251.25 and 517,998.38 is: 827,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,251.25 : 517,998.38 = 517,998.38 : x
  2. Step 2: Convert to fraction form
    324,251.25/517,998.38 = 517,998.38/x
  3. Step 3: Cross multiply
    324,251.25x = 517,998.38 × 517,998.38
  4. Step 4: Simplify right side
    324,251.25x = 268,322,316,502.64
  5. Step 5: Solve for x
    x = 268,322,316,502.64/324,251.25
  6. Step 6: Final answer
    x = 827,513.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.