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Finding the Third Proportional to 432,238.50 and 694,491.75

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Solution

The third proportional to 432,238.50 and 694,491.75 is: 1,115,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,238.50 : 694,491.75 = 694,491.75 : x
  2. Step 2: Convert to fraction form
    432,238.50/694,491.75 = 694,491.75/x
  3. Step 3: Cross multiply
    432,238.50x = 694,491.75 × 694,491.75
  4. Step 4: Simplify right side
    432,238.50x = 482,318,790,818.06
  5. Step 5: Solve for x
    x = 482,318,790,818.06/432,238.50
  6. Step 6: Final answer
    x = 1,115,862.63

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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.