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Finding the Third Proportional to 337,123.69 and 736,372.69

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Solution

The third proportional to 337,123.69 and 736,372.69 is: 1,608,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,123.69 : 736,372.69 = 736,372.69 : x
  2. Step 2: Convert to fraction form
    337,123.69/736,372.69 = 736,372.69/x
  3. Step 3: Cross multiply
    337,123.69x = 736,372.69 × 736,372.69
  4. Step 4: Simplify right side
    337,123.69x = 542,244,734,895.97
  5. Step 5: Solve for x
    x = 542,244,734,895.97/337,123.69
  6. Step 6: Final answer
    x = 1,608,444.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.