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Finding the Third Proportional to 275.41 and 573.54

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Solution

The third proportional to 275.41 and 573.54 is: 1,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.41 : 573.54 = 573.54 : x
  2. Step 2: Convert to fraction form
    275.41/573.54 = 573.54/x
  3. Step 3: Cross multiply
    275.41x = 573.54 × 573.54
  4. Step 4: Simplify right side
    275.41x = 328,947.06
  5. Step 5: Solve for x
    x = 328,947.06/275.41
  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.