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Finding the Third Proportional to 383.91 and 766.13

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Solution

The third proportional to 383.91 and 766.13 is: 1,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 766.13 = 766.13 : x
  2. Step 2: Convert to fraction form
    383.91/766.13 = 766.13/x
  3. Step 3: Cross multiply
    383.91x = 766.13 × 766.13
  4. Step 4: Simplify right side
    383.91x = 586,947.52
  5. Step 5: Solve for x
    x = 586,947.52/383.91
  6. Step 6: Final answer
    x = 1,528.88

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.