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Finding the Third Proportional to 206,411.44 and 426,982.22

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Solution

The third proportional to 206,411.44 and 426,982.22 is: 883,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.44 : 426,982.22 = 426,982.22 : x
  2. Step 2: Convert to fraction form
    206,411.44/426,982.22 = 426,982.22/x
  3. Step 3: Cross multiply
    206,411.44x = 426,982.22 × 426,982.22
  4. Step 4: Simplify right side
    206,411.44x = 182,313,815,128.67
  5. Step 5: Solve for x
    x = 182,313,815,128.67/206,411.44
  6. Step 6: Final answer
    x = 883,254.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.