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Finding the Third Proportional to 474.52 and 1,042.44

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Solution

The third proportional to 474.52 and 1,042.44 is: 2,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.52 : 1,042.44 = 1,042.44 : x
  2. Step 2: Convert to fraction form
    474.52/1,042.44 = 1,042.44/x
  3. Step 3: Cross multiply
    474.52x = 1,042.44 × 1,042.44
  4. Step 4: Simplify right side
    474.52x = 1,086,671.87
  5. Step 5: Solve for x
    x = 1,086,671.87/474.52
  6. Step 6: Final answer
    x = 2,290.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.