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Finding the Third Proportional to 539.25 and 1,177.22

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Solution

The third proportional to 539.25 and 1,177.22 is: 2,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.25 : 1,177.22 = 1,177.22 : x
  2. Step 2: Convert to fraction form
    539.25/1,177.22 = 1,177.22/x
  3. Step 3: Cross multiply
    539.25x = 1,177.22 × 1,177.22
  4. Step 4: Simplify right side
    539.25x = 1,385,843.99
  5. Step 5: Solve for x
    x = 1,385,843.99/539.25
  6. Step 6: Final answer
    x = 2,569.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.