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Finding the Third Proportional to 217,329.75 and 466,512.75

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Solution

The third proportional to 217,329.75 and 466,512.75 is: 1,001,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,329.75 : 466,512.75 = 466,512.75 : x
  2. Step 2: Convert to fraction form
    217,329.75/466,512.75 = 466,512.75/x
  3. Step 3: Cross multiply
    217,329.75x = 466,512.75 × 466,512.75
  4. Step 4: Simplify right side
    217,329.75x = 217,634,145,912.56
  5. Step 5: Solve for x
    x = 217,634,145,912.56/217,329.75
  6. Step 6: Final answer
    x = 1,001,400.62

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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.