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Finding the Third Proportional to 523.94 and 1,143.88

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Solution

The third proportional to 523.94 and 1,143.88 is: 2,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 1,143.88 = 1,143.88 : x
  2. Step 2: Convert to fraction form
    523.94/1,143.88 = 1,143.88/x
  3. Step 3: Cross multiply
    523.94x = 1,143.88 × 1,143.88
  4. Step 4: Simplify right side
    523.94x = 1,308,450.02
  5. Step 5: Solve for x
    x = 1,308,450.02/523.94
  6. Step 6: Final answer
    x = 2,497.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.