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Finding the Third Proportional to 221,853.94 and 485,688.38

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Solution

The third proportional to 221,853.94 and 485,688.38 is: 1,063,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,853.94 : 485,688.38 = 485,688.38 : x
  2. Step 2: Convert to fraction form
    221,853.94/485,688.38 = 485,688.38/x
  3. Step 3: Cross multiply
    221,853.94x = 485,688.38 × 485,688.38
  4. Step 4: Simplify right side
    221,853.94x = 235,893,197,610.14
  5. Step 5: Solve for x
    x = 235,893,197,610.14/221,853.94
  6. Step 6: Final answer
    x = 1,063,281.55

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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.