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Finding the Third Proportional to 263.06 and 534.56

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Solution

The third proportional to 263.06 and 534.56 is: 1,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 534.56 = 534.56 : x
  2. Step 2: Convert to fraction form
    263.06/534.56 = 534.56/x
  3. Step 3: Cross multiply
    263.06x = 534.56 × 534.56
  4. Step 4: Simplify right side
    263.06x = 285,757.07
  5. Step 5: Solve for x
    x = 285,757.07/263.06
  6. Step 6: Final answer
    x = 1,086.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.