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Finding the Third Proportional to 320.97 and 485.13

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Solution

The third proportional to 320.97 and 485.13 is: 733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.97 : 485.13 = 485.13 : x
  2. Step 2: Convert to fraction form
    320.97/485.13 = 485.13/x
  3. Step 3: Cross multiply
    320.97x = 485.13 × 485.13
  4. Step 4: Simplify right side
    320.97x = 235,346.27
  5. Step 5: Solve for x
    x = 235,346.27/320.97
  6. Step 6: Final answer
    x = 733.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.