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Finding the Third Proportional to 271.75 and 479.75

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Solution

The third proportional to 271.75 and 479.75 is: 846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.75 : 479.75 = 479.75 : x
  2. Step 2: Convert to fraction form
    271.75/479.75 = 479.75/x
  3. Step 3: Cross multiply
    271.75x = 479.75 × 479.75
  4. Step 4: Simplify right side
    271.75x = 230,160.06
  5. Step 5: Solve for x
    x = 230,160.06/271.75
  6. Step 6: Final answer
    x = 846.96

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.