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Finding the Third Proportional to 333.38 and 532.55

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Solution

The third proportional to 333.38 and 532.55 is: 850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.38 : 532.55 = 532.55 : x
  2. Step 2: Convert to fraction form
    333.38/532.55 = 532.55/x
  3. Step 3: Cross multiply
    333.38x = 532.55 × 532.55
  4. Step 4: Simplify right side
    333.38x = 283,606.17
  5. Step 5: Solve for x
    x = 283,606.17/333.38
  6. Step 6: Final answer
    x = 850.71

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.