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Finding the Third Proportional to 539.79 and 809.68

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Solution

The third proportional to 539.79 and 809.68 is: 1,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.79 : 809.68 = 809.68 : x
  2. Step 2: Convert to fraction form
    539.79/809.68 = 809.68/x
  3. Step 3: Cross multiply
    539.79x = 809.68 × 809.68
  4. Step 4: Simplify right side
    539.79x = 655,587.52
  5. Step 5: Solve for x
    x = 655,587.52/539.79
  6. Step 6: Final answer
    x = 1,214.53

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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.