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Finding the Third Proportional to 325.90 and 685.97

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Solution

The third proportional to 325.90 and 685.97 is: 1,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.90 : 685.97 = 685.97 : x
  2. Step 2: Convert to fraction form
    325.90/685.97 = 685.97/x
  3. Step 3: Cross multiply
    325.90x = 685.97 × 685.97
  4. Step 4: Simplify right side
    325.90x = 470,553.13
  5. Step 5: Solve for x
    x = 470,553.13/325.90
  6. Step 6: Final answer
    x = 1,443.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.