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Finding the Third Proportional to 325,686 and 717,632

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Solution

The third proportional to 325,686 and 717,632 is: 1,581,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,686 : 717,632 = 717,632 : x
  2. Step 2: Convert to fraction form
    325,686/717,632 = 717,632/x
  3. Step 3: Cross multiply
    325,686x = 717,632 × 717,632
  4. Step 4: Simplify right side
    325,686x = 514,995,687,424
  5. Step 5: Solve for x
    x = 514,995,687,424/325,686
  6. Step 6: Final answer
    x = 1,581,264.43

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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.