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Finding the Third Proportional to 380.75 and 431.75

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Solution

The third proportional to 380.75 and 431.75 is: 489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.75 : 431.75 = 431.75 : x
  2. Step 2: Convert to fraction form
    380.75/431.75 = 431.75/x
  3. Step 3: Cross multiply
    380.75x = 431.75 × 431.75
  4. Step 4: Simplify right side
    380.75x = 186,408.06
  5. Step 5: Solve for x
    x = 186,408.06/380.75
  6. Step 6: Final answer
    x = 489.58

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.