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Finding the Third Proportional to 449.53 and 982.41

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Solution

The third proportional to 449.53 and 982.41 is: 2,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.53 : 982.41 = 982.41 : x
  2. Step 2: Convert to fraction form
    449.53/982.41 = 982.41/x
  3. Step 3: Cross multiply
    449.53x = 982.41 × 982.41
  4. Step 4: Simplify right side
    449.53x = 965,122.04
  5. Step 5: Solve for x
    x = 965,122.04/449.53
  6. Step 6: Final answer
    x = 2,146.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.