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Finding the Third Proportional to 207,773.44 and 454,957.31

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Solution

The third proportional to 207,773.44 and 454,957.31 is: 996,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,773.44 : 454,957.31 = 454,957.31 : x
  2. Step 2: Convert to fraction form
    207,773.44/454,957.31 = 454,957.31/x
  3. Step 3: Cross multiply
    207,773.44x = 454,957.31 × 454,957.31
  4. Step 4: Simplify right side
    207,773.44x = 206,986,156,197.22
  5. Step 5: Solve for x
    x = 206,986,156,197.22/207,773.44
  6. Step 6: Final answer
    x = 996,210.87

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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.