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Finding the Third Proportional to 338.63 and 737.16

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Solution

The third proportional to 338.63 and 737.16 is: 1,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.63 : 737.16 = 737.16 : x
  2. Step 2: Convert to fraction form
    338.63/737.16 = 737.16/x
  3. Step 3: Cross multiply
    338.63x = 737.16 × 737.16
  4. Step 4: Simplify right side
    338.63x = 543,399.34
  5. Step 5: Solve for x
    x = 543,399.34/338.63
  6. Step 6: Final answer
    x = 1,604.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.