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Finding the Third Proportional to 372.36 and 735.36

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Solution

The third proportional to 372.36 and 735.36 is: 1,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.36 : 735.36 = 735.36 : x
  2. Step 2: Convert to fraction form
    372.36/735.36 = 735.36/x
  3. Step 3: Cross multiply
    372.36x = 735.36 × 735.36
  4. Step 4: Simplify right side
    372.36x = 540,759.16
  5. Step 5: Solve for x
    x = 540,759.16/372.36
  6. Step 6: Final answer
    x = 1,452.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.