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Finding the Third Proportional to 327,943.50 and 717,204

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Solution

The third proportional to 327,943.50 and 717,204 is: 1,568,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,943.50 : 717,204 = 717,204 : x
  2. Step 2: Convert to fraction form
    327,943.50/717,204 = 717,204/x
  3. Step 3: Cross multiply
    327,943.50x = 717,204 × 717,204
  4. Step 4: Simplify right side
    327,943.50x = 514,381,577,616
  5. Step 5: Solve for x
    x = 514,381,577,616/327,943.50
  6. Step 6: Final answer
    x = 1,568,506.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.