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Finding the Third Proportional to 364.82 and 547.22

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Solution

The third proportional to 364.82 and 547.22 is: 820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.82 : 547.22 = 547.22 : x
  2. Step 2: Convert to fraction form
    364.82/547.22 = 547.22/x
  3. Step 3: Cross multiply
    364.82x = 547.22 × 547.22
  4. Step 4: Simplify right side
    364.82x = 299,454.77
  5. Step 5: Solve for x
    x = 299,454.77/364.82
  6. Step 6: Final answer
    x = 820.84

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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.