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Finding the Third Proportional to 206,763 and 450,444

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Solution

The third proportional to 206,763 and 450,444 is: 981,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763 : 450,444 = 450,444 : x
  2. Step 2: Convert to fraction form
    206,763/450,444 = 450,444/x
  3. Step 3: Cross multiply
    206,763x = 450,444 × 450,444
  4. Step 4: Simplify right side
    206,763x = 202,899,797,136
  5. Step 5: Solve for x
    x = 202,899,797,136/206,763
  6. Step 6: Final answer
    x = 981,315.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.