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Finding the Third Proportional to 454.36 and 984.80

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Solution

The third proportional to 454.36 and 984.80 is: 2,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.36 : 984.80 = 984.80 : x
  2. Step 2: Convert to fraction form
    454.36/984.80 = 984.80/x
  3. Step 3: Cross multiply
    454.36x = 984.80 × 984.80
  4. Step 4: Simplify right side
    454.36x = 969,824.89
  5. Step 5: Solve for x
    x = 969,824.89/454.36
  6. Step 6: Final answer
    x = 2,134.49

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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.