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Finding the Third Proportional to 299,852 and 644,167

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Solution

The third proportional to 299,852 and 644,167 is: 1,383,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,852 : 644,167 = 644,167 : x
  2. Step 2: Convert to fraction form
    299,852/644,167 = 644,167/x
  3. Step 3: Cross multiply
    299,852x = 644,167 × 644,167
  4. Step 4: Simplify right side
    299,852x = 414,951,123,889
  5. Step 5: Solve for x
    x = 414,951,123,889/299,852
  6. Step 6: Final answer
    x = 1,383,853.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.