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Finding the Third Proportional to 377.91 and 567.04

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Solution

The third proportional to 377.91 and 567.04 is: 850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.91 : 567.04 = 567.04 : x
  2. Step 2: Convert to fraction form
    377.91/567.04 = 567.04/x
  3. Step 3: Cross multiply
    377.91x = 567.04 × 567.04
  4. Step 4: Simplify right side
    377.91x = 321,533.85
  5. Step 5: Solve for x
    x = 321,533.85/377.91
  6. Step 6: Final answer
    x = 850.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.