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Finding the Third Proportional to 577.25 and 1,180.75

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Solution

The third proportional to 577.25 and 1,180.75 is: 2,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.25 : 1,180.75 = 1,180.75 : x
  2. Step 2: Convert to fraction form
    577.25/1,180.75 = 1,180.75/x
  3. Step 3: Cross multiply
    577.25x = 1,180.75 × 1,180.75
  4. Step 4: Simplify right side
    577.25x = 1,394,170.56
  5. Step 5: Solve for x
    x = 1,394,170.56/577.25
  6. Step 6: Final answer
    x = 2,415.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.