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Finding the Third Proportional to 209,179 and 430,744

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Solution

The third proportional to 209,179 and 430,744 is: 886,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,179 : 430,744 = 430,744 : x
  2. Step 2: Convert to fraction form
    209,179/430,744 = 430,744/x
  3. Step 3: Cross multiply
    209,179x = 430,744 × 430,744
  4. Step 4: Simplify right side
    209,179x = 185,540,393,536
  5. Step 5: Solve for x
    x = 185,540,393,536/209,179
  6. Step 6: Final answer
    x = 886,993.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.