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Finding the Third Proportional to 275.44 and 573.56

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Solution

The third proportional to 275.44 and 573.56 is: 1,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 573.56 = 573.56 : x
  2. Step 2: Convert to fraction form
    275.44/573.56 = 573.56/x
  3. Step 3: Cross multiply
    275.44x = 573.56 × 573.56
  4. Step 4: Simplify right side
    275.44x = 328,973.94
  5. Step 5: Solve for x
    x = 328,973.94/275.44
  6. Step 6: Final answer
    x = 1,194.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.