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Finding the Third Proportional to 363,161 and 797,986

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Solution

The third proportional to 363,161 and 797,986 is: 1,753,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,161 : 797,986 = 797,986 : x
  2. Step 2: Convert to fraction form
    363,161/797,986 = 797,986/x
  3. Step 3: Cross multiply
    363,161x = 797,986 × 797,986
  4. Step 4: Simplify right side
    363,161x = 636,781,656,196
  5. Step 5: Solve for x
    x = 636,781,656,196/363,161
  6. Step 6: Final answer
    x = 1,753,441.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.