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Finding the Third Proportional to 974.25 and 1,512.56

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Solution

The third proportional to 974.25 and 1,512.56 is: 2,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.25 : 1,512.56 = 1,512.56 : x
  2. Step 2: Convert to fraction form
    974.25/1,512.56 = 1,512.56/x
  3. Step 3: Cross multiply
    974.25x = 1,512.56 × 1,512.56
  4. Step 4: Simplify right side
    974.25x = 2,287,845.32
  5. Step 5: Solve for x
    x = 2,287,845.32/974.25
  6. Step 6: Final answer
    x = 2,348.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.