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Finding the Third Proportional to 600 and 1,344

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Solution

The third proportional to 600 and 1,344 is: 3,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 1,344 = 1,344 : x
  2. Step 2: Convert to fraction form
    600/1,344 = 1,344/x
  3. Step 3: Cross multiply
    600x = 1,344 × 1,344
  4. Step 4: Simplify right side
    600x = 1,806,336
  5. Step 5: Solve for x
    x = 1,806,336/600
  6. Step 6: Final answer
    x = 3,010.56

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.