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Finding the Third Proportional to 209,854 and 449,626

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Solution

The third proportional to 209,854 and 449,626 is: 963,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854 : 449,626 = 449,626 : x
  2. Step 2: Convert to fraction form
    209,854/449,626 = 449,626/x
  3. Step 3: Cross multiply
    209,854x = 449,626 × 449,626
  4. Step 4: Simplify right side
    209,854x = 202,163,539,876
  5. Step 5: Solve for x
    x = 202,163,539,876/209,854
  6. Step 6: Final answer
    x = 963,353.28

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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.