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Finding the Third Proportional to 366,984.50 and 516,780.75

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Solution

The third proportional to 366,984.50 and 516,780.75 is: 727,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984.50 : 516,780.75 = 516,780.75 : x
  2. Step 2: Convert to fraction form
    366,984.50/516,780.75 = 516,780.75/x
  3. Step 3: Cross multiply
    366,984.50x = 516,780.75 × 516,780.75
  4. Step 4: Simplify right side
    366,984.50x = 267,062,343,570.56
  5. Step 5: Solve for x
    x = 267,062,343,570.56/366,984.50
  6. Step 6: Final answer
    x = 727,721.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.