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Finding the Third Proportional to 220,741.77 and 467,778.80

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Solution

The third proportional to 220,741.77 and 467,778.80 is: 991,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,741.77 : 467,778.80 = 467,778.80 : x
  2. Step 2: Convert to fraction form
    220,741.77/467,778.80 = 467,778.80/x
  3. Step 3: Cross multiply
    220,741.77x = 467,778.80 × 467,778.80
  4. Step 4: Simplify right side
    220,741.77x = 218,817,002,805.82
  5. Step 5: Solve for x
    x = 218,817,002,805.82/220,741.77
  6. Step 6: Final answer
    x = 991,280.46

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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.