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Finding the Third Proportional to 523.63 and 1,138.19

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Solution

The third proportional to 523.63 and 1,138.19 is: 2,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.63 : 1,138.19 = 1,138.19 : x
  2. Step 2: Convert to fraction form
    523.63/1,138.19 = 1,138.19/x
  3. Step 3: Cross multiply
    523.63x = 1,138.19 × 1,138.19
  4. Step 4: Simplify right side
    523.63x = 1,295,470.79
  5. Step 5: Solve for x
    x = 1,295,470.79/523.63
  6. Step 6: Final answer
    x = 2,474.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.