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Finding the Third Proportional to 336.94 and 735.19

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Solution

The third proportional to 336.94 and 735.19 is: 1,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.94 : 735.19 = 735.19 : x
  2. Step 2: Convert to fraction form
    336.94/735.19 = 735.19/x
  3. Step 3: Cross multiply
    336.94x = 735.19 × 735.19
  4. Step 4: Simplify right side
    336.94x = 540,500.66
  5. Step 5: Solve for x
    x = 540,500.66/336.94
  6. Step 6: Final answer
    x = 1,604.16

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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.