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Finding the Third Proportional to 327,940.50 and 717,198

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Solution

The third proportional to 327,940.50 and 717,198 is: 1,568,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,940.50 : 717,198 = 717,198 : x
  2. Step 2: Convert to fraction form
    327,940.50/717,198 = 717,198/x
  3. Step 3: Cross multiply
    327,940.50x = 717,198 × 717,198
  4. Step 4: Simplify right side
    327,940.50x = 514,372,971,204
  5. Step 5: Solve for x
    x = 514,372,971,204/327,940.50
  6. Step 6: Final answer
    x = 1,568,494.81

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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.