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Finding the Third Proportional to 277.97 and 569.44

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Solution

The third proportional to 277.97 and 569.44 is: 1,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.97 : 569.44 = 569.44 : x
  2. Step 2: Convert to fraction form
    277.97/569.44 = 569.44/x
  3. Step 3: Cross multiply
    277.97x = 569.44 × 569.44
  4. Step 4: Simplify right side
    277.97x = 324,259.07
  5. Step 5: Solve for x
    x = 324,259.07/277.97
  6. Step 6: Final answer
    x = 1,166.53

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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.