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Finding the Third Proportional to 326.77 and 489.08

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Solution

The third proportional to 326.77 and 489.08 is: 732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.77 : 489.08 = 489.08 : x
  2. Step 2: Convert to fraction form
    326.77/489.08 = 489.08/x
  3. Step 3: Cross multiply
    326.77x = 489.08 × 489.08
  4. Step 4: Simplify right side
    326.77x = 239,204.10
  5. Step 5: Solve for x
    x = 239,204.10/326.77
  6. Step 6: Final answer
    x = 732.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.