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Finding the Third Proportional to 367,000.88 and 516,810.38

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Solution

The third proportional to 367,000.88 and 516,810.38 is: 727,772.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,000.88 : 516,810.38 = 516,810.38 : x
  2. Step 2: Convert to fraction form
    367,000.88/516,810.38 = 516,810.38/x
  3. Step 3: Cross multiply
    367,000.88x = 516,810.38 × 516,810.38
  4. Step 4: Simplify right side
    367,000.88x = 267,092,963,707.64
  5. Step 5: Solve for x
    x = 267,092,963,707.64/367,000.88
  6. Step 6: Final answer
    x = 727,772.01

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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.