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Finding the Third Proportional to 220,675.50 and 467,833.92

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Solution

The third proportional to 220,675.50 and 467,833.92 is: 991,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,675.50 : 467,833.92 = 467,833.92 : x
  2. Step 2: Convert to fraction form
    220,675.50/467,833.92 = 467,833.92/x
  3. Step 3: Cross multiply
    220,675.50x = 467,833.92 × 467,833.92
  4. Step 4: Simplify right side
    220,675.50x = 218,868,578,456.94
  5. Step 5: Solve for x
    x = 218,868,578,456.94/220,675.50
  6. Step 6: Final answer
    x = 991,811.86

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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.