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Finding the Third Proportional to 325,696 and 717,651

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Solution

The third proportional to 325,696 and 717,651 is: 1,581,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,696 : 717,651 = 717,651 : x
  2. Step 2: Convert to fraction form
    325,696/717,651 = 717,651/x
  3. Step 3: Cross multiply
    325,696x = 717,651 × 717,651
  4. Step 4: Simplify right side
    325,696x = 515,022,957,801
  5. Step 5: Solve for x
    x = 515,022,957,801/325,696
  6. Step 6: Final answer
    x = 1,581,299.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.