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Finding the Third Proportional to 489.94 and 823.03

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Solution

The third proportional to 489.94 and 823.03 is: 1,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.94 : 823.03 = 823.03 : x
  2. Step 2: Convert to fraction form
    489.94/823.03 = 823.03/x
  3. Step 3: Cross multiply
    489.94x = 823.03 × 823.03
  4. Step 4: Simplify right side
    489.94x = 677,380.44
  5. Step 5: Solve for x
    x = 677,380.44/489.94
  6. Step 6: Final answer
    x = 1,382.59

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.