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Finding the Third Proportional to 516,112 and 797,496

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Solution

The third proportional to 516,112 and 797,496 is: 1,232,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,112 : 797,496 = 797,496 : x
  2. Step 2: Convert to fraction form
    516,112/797,496 = 797,496/x
  3. Step 3: Cross multiply
    516,112x = 797,496 × 797,496
  4. Step 4: Simplify right side
    516,112x = 635,999,870,016
  5. Step 5: Solve for x
    x = 635,999,870,016/516,112
  6. Step 6: Final answer
    x = 1,232,290.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.