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Finding the Third Proportional to 447.47 and 980.16

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Solution

The third proportional to 447.47 and 980.16 is: 2,146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.47 : 980.16 = 980.16 : x
  2. Step 2: Convert to fraction form
    447.47/980.16 = 980.16/x
  3. Step 3: Cross multiply
    447.47x = 980.16 × 980.16
  4. Step 4: Simplify right side
    447.47x = 960,706.27
  5. Step 5: Solve for x
    x = 960,706.27/447.47
  6. Step 6: Final answer
    x = 2,146.98

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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.