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Finding the Third Proportional to 198,784 and 441,669

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Solution

The third proportional to 198,784 and 441,669 is: 981,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,784 : 441,669 = 441,669 : x
  2. Step 2: Convert to fraction form
    198,784/441,669 = 441,669/x
  3. Step 3: Cross multiply
    198,784x = 441,669 × 441,669
  4. Step 4: Simplify right side
    198,784x = 195,071,505,561
  5. Step 5: Solve for x
    x = 195,071,505,561/198,784
  6. Step 6: Final answer
    x = 981,323.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.