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Finding the Third Proportional to 534.23 and 1,173.52

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Solution

The third proportional to 534.23 and 1,173.52 is: 2,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.23 : 1,173.52 = 1,173.52 : x
  2. Step 2: Convert to fraction form
    534.23/1,173.52 = 1,173.52/x
  3. Step 3: Cross multiply
    534.23x = 1,173.52 × 1,173.52
  4. Step 4: Simplify right side
    534.23x = 1,377,138.92
  5. Step 5: Solve for x
    x = 1,377,138.92/534.23
  6. Step 6: Final answer
    x = 2,577.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.