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Finding the Third Proportional to 320.72 and 479.83

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Solution

The third proportional to 320.72 and 479.83 is: 717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.72 : 479.83 = 479.83 : x
  2. Step 2: Convert to fraction form
    320.72/479.83 = 479.83/x
  3. Step 3: Cross multiply
    320.72x = 479.83 × 479.83
  4. Step 4: Simplify right side
    320.72x = 230,236.90
  5. Step 5: Solve for x
    x = 230,236.90/320.72
  6. Step 6: Final answer
    x = 717.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.