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Finding the Third Proportional to 489 and 539.25

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Solution

The third proportional to 489 and 539.25 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 539.25 = 539.25 : x
  2. Step 2: Convert to fraction form
    489/539.25 = 539.25/x
  3. Step 3: Cross multiply
    489x = 539.25 × 539.25
  4. Step 4: Simplify right side
    489x = 290,790.56
  5. Step 5: Solve for x
    x = 290,790.56/489
  6. Step 6: Final answer
    x = 594.66

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.