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Finding the Third Proportional to 337,251.38 and 722,577.38

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Solution

The third proportional to 337,251.38 and 722,577.38 is: 1,548,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,251.38 : 722,577.38 = 722,577.38 : x
  2. Step 2: Convert to fraction form
    337,251.38/722,577.38 = 722,577.38/x
  3. Step 3: Cross multiply
    337,251.38x = 722,577.38 × 722,577.38
  4. Step 4: Simplify right side
    337,251.38x = 522,118,062,861.89
  5. Step 5: Solve for x
    x = 522,118,062,861.89/337,251.38
  6. Step 6: Final answer
    x = 1,548,156.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.