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Finding the Third Proportional to 221,922.28 and 485,359.59

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Solution

The third proportional to 221,922.28 and 485,359.59 is: 1,061,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,922.28 : 485,359.59 = 485,359.59 : x
  2. Step 2: Convert to fraction form
    221,922.28/485,359.59 = 485,359.59/x
  3. Step 3: Cross multiply
    221,922.28x = 485,359.59 × 485,359.59
  4. Step 4: Simplify right side
    221,922.28x = 235,573,935,245.17
  5. Step 5: Solve for x
    x = 235,573,935,245.17/221,922.28
  6. Step 6: Final answer
    x = 1,061,515.47

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