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Finding the Third Proportional to 809.06 and 984.56

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Solution

The third proportional to 809.06 and 984.56 is: 1,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.06 : 984.56 = 984.56 : x
  2. Step 2: Convert to fraction form
    809.06/984.56 = 984.56/x
  3. Step 3: Cross multiply
    809.06x = 984.56 × 984.56
  4. Step 4: Simplify right side
    809.06x = 969,363.32
  5. Step 5: Solve for x
    x = 969,363.32/809.06
  6. Step 6: Final answer
    x = 1,198.13

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.