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Finding the Third Proportional to 408.25 and 969.44

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Solution

The third proportional to 408.25 and 969.44 is: 2,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 969.44 = 969.44 : x
  2. Step 2: Convert to fraction form
    408.25/969.44 = 969.44/x
  3. Step 3: Cross multiply
    408.25x = 969.44 × 969.44
  4. Step 4: Simplify right side
    408.25x = 939,809.07
  5. Step 5: Solve for x
    x = 939,809.07/408.25
  6. Step 6: Final answer
    x = 2,302.04

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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.