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Finding the Third Proportional to 298.29 and 447.44

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Solution

The third proportional to 298.29 and 447.44 is: 671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 447.44 = 447.44 : x
  2. Step 2: Convert to fraction form
    298.29/447.44 = 447.44/x
  3. Step 3: Cross multiply
    298.29x = 447.44 × 447.44
  4. Step 4: Simplify right side
    298.29x = 200,200.75
  5. Step 5: Solve for x
    x = 200,200.75/298.29
  6. Step 6: Final answer
    x = 671.16

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Why These Related Problems?

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