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Finding the Third Proportional to 264.38 and 395.44

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Solution

The third proportional to 264.38 and 395.44 is: 591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.38 : 395.44 = 395.44 : x
  2. Step 2: Convert to fraction form
    264.38/395.44 = 395.44/x
  3. Step 3: Cross multiply
    264.38x = 395.44 × 395.44
  4. Step 4: Simplify right side
    264.38x = 156,370.82
  5. Step 5: Solve for x
    x = 156,370.82/264.38
  6. Step 6: Final answer
    x = 591.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.