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Finding the Third Proportional to 412.75 and 488.75

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Solution

The third proportional to 412.75 and 488.75 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.75 : 488.75 = 488.75 : x
  2. Step 2: Convert to fraction form
    412.75/488.75 = 488.75/x
  3. Step 3: Cross multiply
    412.75x = 488.75 × 488.75
  4. Step 4: Simplify right side
    412.75x = 238,876.56
  5. Step 5: Solve for x
    x = 238,876.56/412.75
  6. Step 6: Final answer
    x = 578.74

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.