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Finding the Third Proportional to 523.41 and 1,263.38

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Solution

The third proportional to 523.41 and 1,263.38 is: 3,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.41 : 1,263.38 = 1,263.38 : x
  2. Step 2: Convert to fraction form
    523.41/1,263.38 = 1,263.38/x
  3. Step 3: Cross multiply
    523.41x = 1,263.38 × 1,263.38
  4. Step 4: Simplify right side
    523.41x = 1,596,116.39
  5. Step 5: Solve for x
    x = 1,596,116.39/523.41
  6. Step 6: Final answer
    x = 3,049.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.