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Finding the Third Proportional to 452.25 and 982.31

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Solution

The third proportional to 452.25 and 982.31 is: 2,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 982.31 = 982.31 : x
  2. Step 2: Convert to fraction form
    452.25/982.31 = 982.31/x
  3. Step 3: Cross multiply
    452.25x = 982.31 × 982.31
  4. Step 4: Simplify right side
    452.25x = 964,937.85
  5. Step 5: Solve for x
    x = 964,937.85/452.25
  6. Step 6: Final answer
    x = 2,133.64

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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.