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Finding the Third Proportional to 220,679.75 and 467,845.56

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Solution

The third proportional to 220,679.75 and 467,845.56 is: 991,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,679.75 : 467,845.56 = 467,845.56 : x
  2. Step 2: Convert to fraction form
    220,679.75/467,845.56 = 467,845.56/x
  3. Step 3: Cross multiply
    220,679.75x = 467,845.56 × 467,845.56
  4. Step 4: Simplify right side
    220,679.75x = 218,879,466,695.90
  5. Step 5: Solve for x
    x = 218,879,466,695.90/220,679.75
  6. Step 6: Final answer
    x = 991,842.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.