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Finding the Third Proportional to 453.52 and 982.97

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Solution

The third proportional to 453.52 and 982.97 is: 2,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 982.97 = 982.97 : x
  2. Step 2: Convert to fraction form
    453.52/982.97 = 982.97/x
  3. Step 3: Cross multiply
    453.52x = 982.97 × 982.97
  4. Step 4: Simplify right side
    453.52x = 966,227.56
  5. Step 5: Solve for x
    x = 966,227.56/453.52
  6. Step 6: Final answer
    x = 2,130.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.