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Finding the Third Proportional to 478.13 and 673.88

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Solution

The third proportional to 478.13 and 673.88 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 673.88 = 673.88 : x
  2. Step 2: Convert to fraction form
    478.13/673.88 = 673.88/x
  3. Step 3: Cross multiply
    478.13x = 673.88 × 673.88
  4. Step 4: Simplify right side
    478.13x = 454,107.52
  5. Step 5: Solve for x
    x = 454,107.52/478.13
  6. Step 6: Final answer
    x = 949.77

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.