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Finding the Third Proportional to 382,027.50 and 516,982.50

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Solution

The third proportional to 382,027.50 and 516,982.50 is: 699,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,027.50 : 516,982.50 = 516,982.50 : x
  2. Step 2: Convert to fraction form
    382,027.50/516,982.50 = 516,982.50/x
  3. Step 3: Cross multiply
    382,027.50x = 516,982.50 × 516,982.50
  4. Step 4: Simplify right side
    382,027.50x = 267,270,905,306.25
  5. Step 5: Solve for x
    x = 267,270,905,306.25/382,027.50
  6. Step 6: Final answer
    x = 699,611.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.