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Finding the Third Proportional to 327,940 and 717,196

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Solution

The third proportional to 327,940 and 717,196 is: 1,568,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,940 : 717,196 = 717,196 : x
  2. Step 2: Convert to fraction form
    327,940/717,196 = 717,196/x
  3. Step 3: Cross multiply
    327,940x = 717,196 × 717,196
  4. Step 4: Simplify right side
    327,940x = 514,370,102,416
  5. Step 5: Solve for x
    x = 514,370,102,416/327,940
  6. Step 6: Final answer
    x = 1,568,488.45

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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.