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Finding the Third Proportional to 219,872.25 and 481,828.50

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Solution

The third proportional to 219,872.25 and 481,828.50 is: 1,055,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,872.25 : 481,828.50 = 481,828.50 : x
  2. Step 2: Convert to fraction form
    219,872.25/481,828.50 = 481,828.50/x
  3. Step 3: Cross multiply
    219,872.25x = 481,828.50 × 481,828.50
  4. Step 4: Simplify right side
    219,872.25x = 232,158,703,412.25
  5. Step 5: Solve for x
    x = 232,158,703,412.25/219,872.25
  6. Step 6: Final answer
    x = 1,055,879.96

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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.