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Finding the Third Proportional to 209,858 and 449,634

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Solution

The third proportional to 209,858 and 449,634 is: 963,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858 : 449,634 = 449,634 : x
  2. Step 2: Convert to fraction form
    209,858/449,634 = 449,634/x
  3. Step 3: Cross multiply
    209,858x = 449,634 × 449,634
  4. Step 4: Simplify right side
    209,858x = 202,170,733,956
  5. Step 5: Solve for x
    x = 202,170,733,956/209,858
  6. Step 6: Final answer
    x = 963,369.20

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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.