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Finding the Third Proportional to 325,702 and 717,662

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Solution

The third proportional to 325,702 and 717,662 is: 1,581,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,702 : 717,662 = 717,662 : x
  2. Step 2: Convert to fraction form
    325,702/717,662 = 717,662/x
  3. Step 3: Cross multiply
    325,702x = 717,662 × 717,662
  4. Step 4: Simplify right side
    325,702x = 515,038,746,244
  5. Step 5: Solve for x
    x = 515,038,746,244/325,702
  6. Step 6: Final answer
    x = 1,581,318.95

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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.