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Finding the Third Proportional to 209,848 and 449,637

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Solution

The third proportional to 209,848 and 449,637 is: 963,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,848 : 449,637 = 449,637 : x
  2. Step 2: Convert to fraction form
    209,848/449,637 = 449,637/x
  3. Step 3: Cross multiply
    209,848x = 449,637 × 449,637
  4. Step 4: Simplify right side
    209,848x = 202,173,431,769
  5. Step 5: Solve for x
    x = 202,173,431,769/209,848
  6. Step 6: Final answer
    x = 963,427.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.