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Finding the Third Proportional to 361.34 and 755.26

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Solution

The third proportional to 361.34 and 755.26 is: 1,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.34 : 755.26 = 755.26 : x
  2. Step 2: Convert to fraction form
    361.34/755.26 = 755.26/x
  3. Step 3: Cross multiply
    361.34x = 755.26 × 755.26
  4. Step 4: Simplify right side
    361.34x = 570,420.26
  5. Step 5: Solve for x
    x = 570,420.26/361.34
  6. Step 6: Final answer
    x = 1,578.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.