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Finding the Third Proportional to 213,819.75 and 459,227.25

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Solution

The third proportional to 213,819.75 and 459,227.25 is: 986,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,819.75 : 459,227.25 = 459,227.25 : x
  2. Step 2: Convert to fraction form
    213,819.75/459,227.25 = 459,227.25/x
  3. Step 3: Cross multiply
    213,819.75x = 459,227.25 × 459,227.25
  4. Step 4: Simplify right side
    213,819.75x = 210,889,667,142.56
  5. Step 5: Solve for x
    x = 210,889,667,142.56/213,819.75
  6. Step 6: Final answer
    x = 986,296.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.