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Finding the Third Proportional to 297.56 and 443.91

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Solution

The third proportional to 297.56 and 443.91 is: 662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.56 : 443.91 = 443.91 : x
  2. Step 2: Convert to fraction form
    297.56/443.91 = 443.91/x
  3. Step 3: Cross multiply
    297.56x = 443.91 × 443.91
  4. Step 4: Simplify right side
    297.56x = 197,052.76
  5. Step 5: Solve for x
    x = 197,052.76/297.56
  6. Step 6: Final answer
    x = 662.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.