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Finding the Third Proportional to 340 and 734

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Solution

The third proportional to 340 and 734 is: 1,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 734 = 734 : x
  2. Step 2: Convert to fraction form
    340/734 = 734/x
  3. Step 3: Cross multiply
    340x = 734 × 734
  4. Step 4: Simplify right side
    340x = 538,756
  5. Step 5: Solve for x
    x = 538,756/340
  6. Step 6: Final answer
    x = 1,584.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.