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Finding the Third Proportional to 418.97 and 626.44

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Solution

The third proportional to 418.97 and 626.44 is: 936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.97 : 626.44 = 626.44 : x
  2. Step 2: Convert to fraction form
    418.97/626.44 = 626.44/x
  3. Step 3: Cross multiply
    418.97x = 626.44 × 626.44
  4. Step 4: Simplify right side
    418.97x = 392,423.94
  5. Step 5: Solve for x
    x = 392,423.94/418.97
  6. Step 6: Final answer
    x = 936.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.