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Finding the Third Proportional to 466.17 and 621.14

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Solution

The third proportional to 466.17 and 621.14 is: 827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 621.14 = 621.14 : x
  2. Step 2: Convert to fraction form
    466.17/621.14 = 621.14/x
  3. Step 3: Cross multiply
    466.17x = 621.14 × 621.14
  4. Step 4: Simplify right side
    466.17x = 385,815.68
  5. Step 5: Solve for x
    x = 385,815.68/466.17
  6. Step 6: Final answer
    x = 827.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.