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Finding the Third Proportional to 337,591.13 and 522,561.38

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Solution

The third proportional to 337,591.13 and 522,561.38 is: 808,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,591.13 : 522,561.38 = 522,561.38 : x
  2. Step 2: Convert to fraction form
    337,591.13/522,561.38 = 522,561.38/x
  3. Step 3: Cross multiply
    337,591.13x = 522,561.38 × 522,561.38
  4. Step 4: Simplify right side
    337,591.13x = 273,070,390,641.89
  5. Step 5: Solve for x
    x = 273,070,390,641.89/337,591.13
  6. Step 6: Final answer
    x = 808,879.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.