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Finding the Third Proportional to 515,891 and 797,165

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Solution

The third proportional to 515,891 and 797,165 is: 1,231,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,891 : 797,165 = 797,165 : x
  2. Step 2: Convert to fraction form
    515,891/797,165 = 797,165/x
  3. Step 3: Cross multiply
    515,891x = 797,165 × 797,165
  4. Step 4: Simplify right side
    515,891x = 635,472,037,225
  5. Step 5: Solve for x
    x = 635,472,037,225/515,891
  6. Step 6: Final answer
    x = 1,231,795.16

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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.