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Finding the Third Proportional to 523.97 and 1,093.50

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Solution

The third proportional to 523.97 and 1,093.50 is: 2,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 1,093.50 = 1,093.50 : x
  2. Step 2: Convert to fraction form
    523.97/1,093.50 = 1,093.50/x
  3. Step 3: Cross multiply
    523.97x = 1,093.50 × 1,093.50
  4. Step 4: Simplify right side
    523.97x = 1,195,742.25
  5. Step 5: Solve for x
    x = 1,195,742.25/523.97
  6. Step 6: Final answer
    x = 2,282.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.