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Finding the Third Proportional to 217.12 and 477.49

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Solution

The third proportional to 217.12 and 477.49 is: 1,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.12 : 477.49 = 477.49 : x
  2. Step 2: Convert to fraction form
    217.12/477.49 = 477.49/x
  3. Step 3: Cross multiply
    217.12x = 477.49 × 477.49
  4. Step 4: Simplify right side
    217.12x = 227,998.26
  5. Step 5: Solve for x
    x = 227,998.26/217.12
  6. Step 6: Final answer
    x = 1,050.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.