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Finding the Third Proportional to 217,672.75 and 329,794.63

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Solution

The third proportional to 217,672.75 and 329,794.63 is: 499,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,672.75 : 329,794.63 = 329,794.63 : x
  2. Step 2: Convert to fraction form
    217,672.75/329,794.63 = 329,794.63/x
  3. Step 3: Cross multiply
    217,672.75x = 329,794.63 × 329,794.63
  4. Step 4: Simplify right side
    217,672.75x = 108,764,494,678.89
  5. Step 5: Solve for x
    x = 108,764,494,678.89/217,672.75
  6. Step 6: Final answer
    x = 499,669.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.