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Finding the Third Proportional to 523.36 and 1,100.58

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Solution

The third proportional to 523.36 and 1,100.58 is: 2,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 1,100.58 = 1,100.58 : x
  2. Step 2: Convert to fraction form
    523.36/1,100.58 = 1,100.58/x
  3. Step 3: Cross multiply
    523.36x = 1,100.58 × 1,100.58
  4. Step 4: Simplify right side
    523.36x = 1,211,272.21
  5. Step 5: Solve for x
    x = 1,211,272.21/523.36
  6. Step 6: Final answer
    x = 2,314.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.