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Finding the Third Proportional to 363,080 and 797,836

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Solution

The third proportional to 363,080 and 797,836 is: 1,753,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,080 : 797,836 = 797,836 : x
  2. Step 2: Convert to fraction form
    363,080/797,836 = 797,836/x
  3. Step 3: Cross multiply
    363,080x = 797,836 × 797,836
  4. Step 4: Simplify right side
    363,080x = 636,542,282,896
  5. Step 5: Solve for x
    x = 636,542,282,896/363,080
  6. Step 6: Final answer
    x = 1,753,173.63

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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.