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Finding the Third Proportional to 365.21 and 547.82

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Solution

The third proportional to 365.21 and 547.82 is: 821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.21 : 547.82 = 547.82 : x
  2. Step 2: Convert to fraction form
    365.21/547.82 = 547.82/x
  3. Step 3: Cross multiply
    365.21x = 547.82 × 547.82
  4. Step 4: Simplify right side
    365.21x = 300,104.42
  5. Step 5: Solve for x
    x = 300,104.42/365.21
  6. Step 6: Final answer
    x = 821.73

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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.