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Finding the Third Proportional to 450.75 and 997.13

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Solution

The third proportional to 450.75 and 997.13 is: 2,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 997.13 = 997.13 : x
  2. Step 2: Convert to fraction form
    450.75/997.13 = 997.13/x
  3. Step 3: Cross multiply
    450.75x = 997.13 × 997.13
  4. Step 4: Simplify right side
    450.75x = 994,258.27
  5. Step 5: Solve for x
    x = 994,258.27/450.75
  6. Step 6: Final answer
    x = 2,205.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.