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Finding the Third Proportional to 209,043 and 451,626

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Solution

The third proportional to 209,043 and 451,626 is: 975,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,043 : 451,626 = 451,626 : x
  2. Step 2: Convert to fraction form
    209,043/451,626 = 451,626/x
  3. Step 3: Cross multiply
    209,043x = 451,626 × 451,626
  4. Step 4: Simplify right side
    209,043x = 203,966,043,876
  5. Step 5: Solve for x
    x = 203,966,043,876/209,043
  6. Step 6: Final answer
    x = 975,713.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.