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Finding the Third Proportional to 523.88 and 1,232.44

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Solution

The third proportional to 523.88 and 1,232.44 is: 2,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.88 : 1,232.44 = 1,232.44 : x
  2. Step 2: Convert to fraction form
    523.88/1,232.44 = 1,232.44/x
  3. Step 3: Cross multiply
    523.88x = 1,232.44 × 1,232.44
  4. Step 4: Simplify right side
    523.88x = 1,518,902.19
  5. Step 5: Solve for x
    x = 1,518,902.19/523.88
  6. Step 6: Final answer
    x = 2,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.