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Finding the Third Proportional to 323.94 and 766.47

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Solution

The third proportional to 323.94 and 766.47 is: 1,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 766.47 = 766.47 : x
  2. Step 2: Convert to fraction form
    323.94/766.47 = 766.47/x
  3. Step 3: Cross multiply
    323.94x = 766.47 × 766.47
  4. Step 4: Simplify right side
    323.94x = 587,474.34
  5. Step 5: Solve for x
    x = 587,474.34/323.94
  6. Step 6: Final answer
    x = 1,813.54

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.