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Finding the Third Proportional to 516,098 and 797,161

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Solution

The third proportional to 516,098 and 797,161 is: 1,231,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,098 : 797,161 = 797,161 : x
  2. Step 2: Convert to fraction form
    516,098/797,161 = 797,161/x
  3. Step 3: Cross multiply
    516,098x = 797,161 × 797,161
  4. Step 4: Simplify right side
    516,098x = 635,465,659,921
  5. Step 5: Solve for x
    x = 635,465,659,921/516,098
  6. Step 6: Final answer
    x = 1,231,288.75

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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.