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Finding the Third Proportional to 468.59 and 667.52

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Solution

The third proportional to 468.59 and 667.52 is: 950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 667.52 = 667.52 : x
  2. Step 2: Convert to fraction form
    468.59/667.52 = 667.52/x
  3. Step 3: Cross multiply
    468.59x = 667.52 × 667.52
  4. Step 4: Simplify right side
    468.59x = 445,577.11
  5. Step 5: Solve for x
    x = 445,577.11/468.59
  6. Step 6: Final answer
    x = 950.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.