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Finding the Third Proportional to 412.17 and 496.55

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Solution

The third proportional to 412.17 and 496.55 is: 598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 496.55 = 496.55 : x
  2. Step 2: Convert to fraction form
    412.17/496.55 = 496.55/x
  3. Step 3: Cross multiply
    412.17x = 496.55 × 496.55
  4. Step 4: Simplify right side
    412.17x = 246,558.80
  5. Step 5: Solve for x
    x = 246,558.80/412.17
  6. Step 6: Final answer
    x = 598.19

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.