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Finding the Third Proportional to 371.75 and 522.88

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Solution

The third proportional to 371.75 and 522.88 is: 735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.75 : 522.88 = 522.88 : x
  2. Step 2: Convert to fraction form
    371.75/522.88 = 522.88/x
  3. Step 3: Cross multiply
    371.75x = 522.88 × 522.88
  4. Step 4: Simplify right side
    371.75x = 273,398.27
  5. Step 5: Solve for x
    x = 273,398.27/371.75
  6. Step 6: Final answer
    x = 735.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.