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Finding the Third Proportional to 363,078 and 797,832

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Solution

The third proportional to 363,078 and 797,832 is: 1,753,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,078 : 797,832 = 797,832 : x
  2. Step 2: Convert to fraction form
    363,078/797,832 = 797,832/x
  3. Step 3: Cross multiply
    363,078x = 797,832 × 797,832
  4. Step 4: Simplify right side
    363,078x = 636,535,900,224
  5. Step 5: Solve for x
    x = 636,535,900,224/363,078
  6. Step 6: Final answer
    x = 1,753,165.71

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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.