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Finding the Third Proportional to 293.25 and 626.44

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Solution

The third proportional to 293.25 and 626.44 is: 1,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 626.44 = 626.44 : x
  2. Step 2: Convert to fraction form
    293.25/626.44 = 626.44/x
  3. Step 3: Cross multiply
    293.25x = 626.44 × 626.44
  4. Step 4: Simplify right side
    293.25x = 392,423.94
  5. Step 5: Solve for x
    x = 392,423.94/293.25
  6. Step 6: Final answer
    x = 1,338.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.