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Finding the Third Proportional to 337,233.75 and 733,955.25

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Solution

The third proportional to 337,233.75 and 733,955.25 is: 1,597,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,233.75 : 733,955.25 = 733,955.25 : x
  2. Step 2: Convert to fraction form
    337,233.75/733,955.25 = 733,955.25/x
  3. Step 3: Cross multiply
    337,233.75x = 733,955.25 × 733,955.25
  4. Step 4: Simplify right side
    337,233.75x = 538,690,309,002.56
  5. Step 5: Solve for x
    x = 538,690,309,002.56/337,233.75
  6. Step 6: Final answer
    x = 1,597,379.59

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