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Finding the Third Proportional to 515,632 and 796,782

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Solution

The third proportional to 515,632 and 796,782 is: 1,231,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,632 : 796,782 = 796,782 : x
  2. Step 2: Convert to fraction form
    515,632/796,782 = 796,782/x
  3. Step 3: Cross multiply
    515,632x = 796,782 × 796,782
  4. Step 4: Simplify right side
    515,632x = 634,861,555,524
  5. Step 5: Solve for x
    x = 634,861,555,524/515,632
  6. Step 6: Final answer
    x = 1,231,229.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.