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Finding the Third Proportional to 515,631 and 796,781

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Solution

The third proportional to 515,631 and 796,781 is: 1,231,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,631 : 796,781 = 796,781 : x
  2. Step 2: Convert to fraction form
    515,631/796,781 = 796,781/x
  3. Step 3: Cross multiply
    515,631x = 796,781 × 796,781
  4. Step 4: Simplify right side
    515,631x = 634,859,961,961
  5. Step 5: Solve for x
    x = 634,859,961,961/515,631
  6. Step 6: Final answer
    x = 1,231,229.24

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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.