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Finding the Third Proportional to 361.88 and 574.88

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Solution

The third proportional to 361.88 and 574.88 is: 913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.88 : 574.88 = 574.88 : x
  2. Step 2: Convert to fraction form
    361.88/574.88 = 574.88/x
  3. Step 3: Cross multiply
    361.88x = 574.88 × 574.88
  4. Step 4: Simplify right side
    361.88x = 330,481.27
  5. Step 5: Solve for x
    x = 330,481.27/361.88
  6. Step 6: Final answer
    x = 913.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.