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Finding the Third Proportional to 206,507 and 453,694

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Solution

The third proportional to 206,507 and 453,694 is: 996,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,507 : 453,694 = 453,694 : x
  2. Step 2: Convert to fraction form
    206,507/453,694 = 453,694/x
  3. Step 3: Cross multiply
    206,507x = 453,694 × 453,694
  4. Step 4: Simplify right side
    206,507x = 205,838,245,636
  5. Step 5: Solve for x
    x = 205,838,245,636/206,507
  6. Step 6: Final answer
    x = 996,761.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.