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Finding the Third Proportional to 432,227.81 and 694,473.75

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Solution

The third proportional to 432,227.81 and 694,473.75 is: 1,115,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,227.81 : 694,473.75 = 694,473.75 : x
  2. Step 2: Convert to fraction form
    432,227.81/694,473.75 = 694,473.75/x
  3. Step 3: Cross multiply
    432,227.81x = 694,473.75 × 694,473.75
  4. Step 4: Simplify right side
    432,227.81x = 482,293,789,439.06
  5. Step 5: Solve for x
    x = 482,293,789,439.06/432,227.81
  6. Step 6: Final answer
    x = 1,115,832.38

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.