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Finding the Third Proportional to 311,692 and 444,184

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Solution

The third proportional to 311,692 and 444,184 is: 632,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,692 : 444,184 = 444,184 : x
  2. Step 2: Convert to fraction form
    311,692/444,184 = 444,184/x
  3. Step 3: Cross multiply
    311,692x = 444,184 × 444,184
  4. Step 4: Simplify right side
    311,692x = 197,299,425,856
  5. Step 5: Solve for x
    x = 197,299,425,856/311,692
  6. Step 6: Final answer
    x = 632,994.83

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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.