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Finding the Third Proportional to 331.94 and 701.84

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Solution

The third proportional to 331.94 and 701.84 is: 1,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.94 : 701.84 = 701.84 : x
  2. Step 2: Convert to fraction form
    331.94/701.84 = 701.84/x
  3. Step 3: Cross multiply
    331.94x = 701.84 × 701.84
  4. Step 4: Simplify right side
    331.94x = 492,584.65
  5. Step 5: Solve for x
    x = 492,584.65/331.94
  6. Step 6: Final answer
    x = 1,483.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.