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Finding the Third Proportional to 215,043.75 and 467,469.75

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Solution

The third proportional to 215,043.75 and 467,469.75 is: 1,016,202.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,043.75 : 467,469.75 = 467,469.75 : x
  2. Step 2: Convert to fraction form
    215,043.75/467,469.75 = 467,469.75/x
  3. Step 3: Cross multiply
    215,043.75x = 467,469.75 × 467,469.75
  4. Step 4: Simplify right side
    215,043.75x = 218,527,967,165.06
  5. Step 5: Solve for x
    x = 218,527,967,165.06/215,043.75
  6. Step 6: Final answer
    x = 1,016,202.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.