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Finding the Third Proportional to 311,682 and 444,171

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Solution

The third proportional to 311,682 and 444,171 is: 632,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,682 : 444,171 = 444,171 : x
  2. Step 2: Convert to fraction form
    311,682/444,171 = 444,171/x
  3. Step 3: Cross multiply
    311,682x = 444,171 × 444,171
  4. Step 4: Simplify right side
    311,682x = 197,287,877,241
  5. Step 5: Solve for x
    x = 197,287,877,241/311,682
  6. Step 6: Final answer
    x = 632,978.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.