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Finding the Third Proportional to 363,086 and 797,848

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Solution

The third proportional to 363,086 and 797,848 is: 1,753,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,086 : 797,848 = 797,848 : x
  2. Step 2: Convert to fraction form
    363,086/797,848 = 797,848/x
  3. Step 3: Cross multiply
    363,086x = 797,848 × 797,848
  4. Step 4: Simplify right side
    363,086x = 636,561,431,104
  5. Step 5: Solve for x
    x = 636,561,431,104/363,086
  6. Step 6: Final answer
    x = 1,753,197.40

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Why These Related Problems?

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