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Finding the Third Proportional to 515,995 and 796,997

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Solution

The third proportional to 515,995 and 796,997 is: 1,231,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,995 : 796,997 = 796,997 : x
  2. Step 2: Convert to fraction form
    515,995/796,997 = 796,997/x
  3. Step 3: Cross multiply
    515,995x = 796,997 × 796,997
  4. Step 4: Simplify right side
    515,995x = 635,204,218,009
  5. Step 5: Solve for x
    x = 635,204,218,009/515,995
  6. Step 6: Final answer
    x = 1,231,027.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.