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Finding the Third Proportional to 515,634 and 796,785

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Solution

The third proportional to 515,634 and 796,785 is: 1,231,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,634 : 796,785 = 796,785 : x
  2. Step 2: Convert to fraction form
    515,634/796,785 = 796,785/x
  3. Step 3: Cross multiply
    515,634x = 796,785 × 796,785
  4. Step 4: Simplify right side
    515,634x = 634,866,336,225
  5. Step 5: Solve for x
    x = 634,866,336,225/515,634
  6. Step 6: Final answer
    x = 1,231,234.43

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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.