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Finding the Third Proportional to 219,003.75 and 471,222.56

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Solution

The third proportional to 219,003.75 and 471,222.56 is: 1,013,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,003.75 : 471,222.56 = 471,222.56 : x
  2. Step 2: Convert to fraction form
    219,003.75/471,222.56 = 471,222.56/x
  3. Step 3: Cross multiply
    219,003.75x = 471,222.56 × 471,222.56
  4. Step 4: Simplify right side
    219,003.75x = 222,050,703,409.07
  5. Step 5: Solve for x
    x = 222,050,703,409.07/219,003.75
  6. Step 6: Final answer
    x = 1,013,912.79

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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.