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Finding the Third Proportional to 217,796.91 and 467,107.59

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Solution

The third proportional to 217,796.91 and 467,107.59 is: 1,001,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,796.91 : 467,107.59 = 467,107.59 : x
  2. Step 2: Convert to fraction form
    217,796.91/467,107.59 = 467,107.59/x
  3. Step 3: Cross multiply
    217,796.91x = 467,107.59 × 467,107.59
  4. Step 4: Simplify right side
    217,796.91x = 218,189,504,138.92
  5. Step 5: Solve for x
    x = 218,189,504,138.92/217,796.91
  6. Step 6: Final answer
    x = 1,001,802.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.