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Finding the Third Proportional to 221,927.91 and 485,383.92

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Solution

The third proportional to 221,927.91 and 485,383.92 is: 1,061,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,927.91 : 485,383.92 = 485,383.92 : x
  2. Step 2: Convert to fraction form
    221,927.91/485,383.92 = 485,383.92/x
  3. Step 3: Cross multiply
    221,927.91x = 485,383.92 × 485,383.92
  4. Step 4: Simplify right side
    221,927.91x = 235,597,551,614.76
  5. Step 5: Solve for x
    x = 235,597,551,614.76/221,927.91
  6. Step 6: Final answer
    x = 1,061,594.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.