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Finding the Third Proportional to 411,753.75 and 892,236.75

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Solution

The third proportional to 411,753.75 and 892,236.75 is: 1,933,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,753.75 : 892,236.75 = 892,236.75 : x
  2. Step 2: Convert to fraction form
    411,753.75/892,236.75 = 892,236.75/x
  3. Step 3: Cross multiply
    411,753.75x = 892,236.75 × 892,236.75
  4. Step 4: Simplify right side
    411,753.75x = 796,086,418,050.56
  5. Step 5: Solve for x
    x = 796,086,418,050.56/411,753.75
  6. Step 6: Final answer
    x = 1,933,404.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.