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Finding the Third Proportional to 323,439.75 and 680,379.75

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Solution

The third proportional to 323,439.75 and 680,379.75 is: 1,431,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,439.75 : 680,379.75 = 680,379.75 : x
  2. Step 2: Convert to fraction form
    323,439.75/680,379.75 = 680,379.75/x
  3. Step 3: Cross multiply
    323,439.75x = 680,379.75 × 680,379.75
  4. Step 4: Simplify right side
    323,439.75x = 462,916,604,210.06
  5. Step 5: Solve for x
    x = 462,916,604,210.06/323,439.75
  6. Step 6: Final answer
    x = 1,431,229.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.