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Finding the Third Proportional to 446 and 744

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Solution

The third proportional to 446 and 744 is: 1,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 744 = 744 : x
  2. Step 2: Convert to fraction form
    446/744 = 744/x
  3. Step 3: Cross multiply
    446x = 744 × 744
  4. Step 4: Simplify right side
    446x = 553,536
  5. Step 5: Solve for x
    x = 553,536/446
  6. Step 6: Final answer
    x = 1,241.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.