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Finding the Third Proportional to 539.16 and 844.80

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Solution

The third proportional to 539.16 and 844.80 is: 1,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.16 : 844.80 = 844.80 : x
  2. Step 2: Convert to fraction form
    539.16/844.80 = 844.80/x
  3. Step 3: Cross multiply
    539.16x = 844.80 × 844.80
  4. Step 4: Simplify right side
    539.16x = 713,694.96
  5. Step 5: Solve for x
    x = 713,694.96/539.16
  6. Step 6: Final answer
    x = 1,323.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.