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Finding the Third Proportional to 365.25 and 564.75

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Solution

The third proportional to 365.25 and 564.75 is: 873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.25 : 564.75 = 564.75 : x
  2. Step 2: Convert to fraction form
    365.25/564.75 = 564.75/x
  3. Step 3: Cross multiply
    365.25x = 564.75 × 564.75
  4. Step 4: Simplify right side
    365.25x = 318,942.56
  5. Step 5: Solve for x
    x = 318,942.56/365.25
  6. Step 6: Final answer
    x = 873.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.