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Finding the Third Proportional to 366,939.50 and 516,731.50

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Solution

The third proportional to 366,939.50 and 516,731.50 is: 727,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,939.50 : 516,731.50 = 516,731.50 : x
  2. Step 2: Convert to fraction form
    366,939.50/516,731.50 = 516,731.50/x
  3. Step 3: Cross multiply
    366,939.50x = 516,731.50 × 516,731.50
  4. Step 4: Simplify right side
    366,939.50x = 267,011,443,092.25
  5. Step 5: Solve for x
    x = 267,011,443,092.25/366,939.50
  6. Step 6: Final answer
    x = 727,671.57

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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.