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Finding the Third Proportional to 219,934.46 and 481,906.73

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Solution

The third proportional to 219,934.46 and 481,906.73 is: 1,055,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,934.46 : 481,906.73 = 481,906.73 : x
  2. Step 2: Convert to fraction form
    219,934.46/481,906.73 = 481,906.73/x
  3. Step 3: Cross multiply
    219,934.46x = 481,906.73 × 481,906.73
  4. Step 4: Simplify right side
    219,934.46x = 232,234,097,812.31
  5. Step 5: Solve for x
    x = 232,234,097,812.31/219,934.46
  6. Step 6: Final answer
    x = 1,055,924.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.