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Finding the Third Proportional to 269.44 and 404.72

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Solution

The third proportional to 269.44 and 404.72 is: 607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.44 : 404.72 = 404.72 : x
  2. Step 2: Convert to fraction form
    269.44/404.72 = 404.72/x
  3. Step 3: Cross multiply
    269.44x = 404.72 × 404.72
  4. Step 4: Simplify right side
    269.44x = 163,797.27
  5. Step 5: Solve for x
    x = 163,797.27/269.44
  6. Step 6: Final answer
    x = 607.92

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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.