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Finding the Third Proportional to 275.24 and 573.22

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Solution

The third proportional to 275.24 and 573.22 is: 1,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.24 : 573.22 = 573.22 : x
  2. Step 2: Convert to fraction form
    275.24/573.22 = 573.22/x
  3. Step 3: Cross multiply
    275.24x = 573.22 × 573.22
  4. Step 4: Simplify right side
    275.24x = 328,584.21
  5. Step 5: Solve for x
    x = 328,584.21/275.24
  6. Step 6: Final answer
    x = 1,193.82

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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.