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Finding the Third Proportional to 327,942 and 717,200

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Solution

The third proportional to 327,942 and 717,200 is: 1,568,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,942 : 717,200 = 717,200 : x
  2. Step 2: Convert to fraction form
    327,942/717,200 = 717,200/x
  3. Step 3: Cross multiply
    327,942x = 717,200 × 717,200
  4. Step 4: Simplify right side
    327,942x = 514,375,840,000
  5. Step 5: Solve for x
    x = 514,375,840,000/327,942
  6. Step 6: Final answer
    x = 1,568,496.38

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Why These Related Problems?

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