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Finding the Third Proportional to 325,667.25 and 516,917.25

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Solution

The third proportional to 325,667.25 and 516,917.25 is: 820,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,667.25 : 516,917.25 = 516,917.25 : x
  2. Step 2: Convert to fraction form
    325,667.25/516,917.25 = 516,917.25/x
  3. Step 3: Cross multiply
    325,667.25x = 516,917.25 × 516,917.25
  4. Step 4: Simplify right side
    325,667.25x = 267,203,443,347.56
  5. Step 5: Solve for x
    x = 267,203,443,347.56/325,667.25
  6. Step 6: Final answer
    x = 820,479.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.