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Finding the Third Proportional to 447.75 and 676.13

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Solution

The third proportional to 447.75 and 676.13 is: 1,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 676.13 = 676.13 : x
  2. Step 2: Convert to fraction form
    447.75/676.13 = 676.13/x
  3. Step 3: Cross multiply
    447.75x = 676.13 × 676.13
  4. Step 4: Simplify right side
    447.75x = 457,145.02
  5. Step 5: Solve for x
    x = 457,145.02/447.75
  6. Step 6: Final answer
    x = 1,020.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.