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Finding the Third Proportional to 218,872.13 and 471,516.19

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Solution

The third proportional to 218,872.13 and 471,516.19 is: 1,015,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.13 : 471,516.19 = 471,516.19 : x
  2. Step 2: Convert to fraction form
    218,872.13/471,516.19 = 471,516.19/x
  3. Step 3: Cross multiply
    218,872.13x = 471,516.19 × 471,516.19
  4. Step 4: Simplify right side
    218,872.13x = 222,327,515,074.54
  5. Step 5: Solve for x
    x = 222,327,515,074.54/218,872.13
  6. Step 6: Final answer
    x = 1,015,787.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.