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Finding the Third Proportional to 219,144 and 475,812

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Solution

The third proportional to 219,144 and 475,812 is: 1,033,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,144 : 475,812 = 475,812 : x
  2. Step 2: Convert to fraction form
    219,144/475,812 = 475,812/x
  3. Step 3: Cross multiply
    219,144x = 475,812 × 475,812
  4. Step 4: Simplify right side
    219,144x = 226,397,059,344
  5. Step 5: Solve for x
    x = 226,397,059,344/219,144
  6. Step 6: Final answer
    x = 1,033,097.23

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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.