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Finding the Third Proportional to 455.38 and 982.75

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Solution

The third proportional to 455.38 and 982.75 is: 2,120.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.38 : 982.75 = 982.75 : x
  2. Step 2: Convert to fraction form
    455.38/982.75 = 982.75/x
  3. Step 3: Cross multiply
    455.38x = 982.75 × 982.75
  4. Step 4: Simplify right side
    455.38x = 965,797.56
  5. Step 5: Solve for x
    x = 965,797.56/455.38
  6. Step 6: Final answer
    x = 2,120.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.