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Finding the Third Proportional to 704.44 and 1,512.69

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Solution

The third proportional to 704.44 and 1,512.69 is: 3,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.44 : 1,512.69 = 1,512.69 : x
  2. Step 2: Convert to fraction form
    704.44/1,512.69 = 1,512.69/x
  3. Step 3: Cross multiply
    704.44x = 1,512.69 × 1,512.69
  4. Step 4: Simplify right side
    704.44x = 2,288,223.47
  5. Step 5: Solve for x
    x = 2,288,223.47/704.44
  6. Step 6: Final answer
    x = 3,248.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.