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Finding the Third Proportional to 365.34 and 567.21

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Solution

The third proportional to 365.34 and 567.21 is: 880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.34 : 567.21 = 567.21 : x
  2. Step 2: Convert to fraction form
    365.34/567.21 = 567.21/x
  3. Step 3: Cross multiply
    365.34x = 567.21 × 567.21
  4. Step 4: Simplify right side
    365.34x = 321,728.25
  5. Step 5: Solve for x
    x = 321,728.25/365.34
  6. Step 6: Final answer
    x = 880.62

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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.