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Finding the Third Proportional to 344.57 and 737.54

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Solution

The third proportional to 344.57 and 737.54 is: 1,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 737.54 = 737.54 : x
  2. Step 2: Convert to fraction form
    344.57/737.54 = 737.54/x
  3. Step 3: Cross multiply
    344.57x = 737.54 × 737.54
  4. Step 4: Simplify right side
    344.57x = 543,969.63
  5. Step 5: Solve for x
    x = 543,969.63/344.57
  6. Step 6: Final answer
    x = 1,578.71

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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.