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Finding the Third Proportional to 365,794 and 797,744

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Solution

The third proportional to 365,794 and 797,744 is: 1,739,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,794 : 797,744 = 797,744 : x
  2. Step 2: Convert to fraction form
    365,794/797,744 = 797,744/x
  3. Step 3: Cross multiply
    365,794x = 797,744 × 797,744
  4. Step 4: Simplify right side
    365,794x = 636,395,489,536
  5. Step 5: Solve for x
    x = 636,395,489,536/365,794
  6. Step 6: Final answer
    x = 1,739,764.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.