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Finding the Third Proportional to 331.13 and 705.75

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Solution

The third proportional to 331.13 and 705.75 is: 1,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.13 : 705.75 = 705.75 : x
  2. Step 2: Convert to fraction form
    331.13/705.75 = 705.75/x
  3. Step 3: Cross multiply
    331.13x = 705.75 × 705.75
  4. Step 4: Simplify right side
    331.13x = 498,083.06
  5. Step 5: Solve for x
    x = 498,083.06/331.13
  6. Step 6: Final answer
    x = 1,504.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.