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Finding the Third Proportional to 382.85 and 606.55

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Solution

The third proportional to 382.85 and 606.55 is: 960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 606.55 = 606.55 : x
  2. Step 2: Convert to fraction form
    382.85/606.55 = 606.55/x
  3. Step 3: Cross multiply
    382.85x = 606.55 × 606.55
  4. Step 4: Simplify right side
    382.85x = 367,903.85
  5. Step 5: Solve for x
    x = 367,903.85/382.85
  6. Step 6: Final answer
    x = 960.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.