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Finding the Third Proportional to 206,725 and 426,734

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Solution

The third proportional to 206,725 and 426,734 is: 880,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,725 : 426,734 = 426,734 : x
  2. Step 2: Convert to fraction form
    206,725/426,734 = 426,734/x
  3. Step 3: Cross multiply
    206,725x = 426,734 × 426,734
  4. Step 4: Simplify right side
    206,725x = 182,101,906,756
  5. Step 5: Solve for x
    x = 182,101,906,756/206,725
  6. Step 6: Final answer
    x = 880,889.62

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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.