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Finding the Third Proportional to 337,097.53 and 724,221.84

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Solution

The third proportional to 337,097.53 and 724,221.84 is: 1,555,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,097.53 : 724,221.84 = 724,221.84 : x
  2. Step 2: Convert to fraction form
    337,097.53/724,221.84 = 724,221.84/x
  3. Step 3: Cross multiply
    337,097.53x = 724,221.84 × 724,221.84
  4. Step 4: Simplify right side
    337,097.53x = 524,497,278,964.65
  5. Step 5: Solve for x
    x = 524,497,278,964.65/337,097.53
  6. Step 6: Final answer
    x = 1,555,921.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.