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Finding the Third Proportional to 206,775 and 447,444

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Solution

The third proportional to 206,775 and 447,444 is: 968,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,775 : 447,444 = 447,444 : x
  2. Step 2: Convert to fraction form
    206,775/447,444 = 447,444/x
  3. Step 3: Cross multiply
    206,775x = 447,444 × 447,444
  4. Step 4: Simplify right side
    206,775x = 200,206,133,136
  5. Step 5: Solve for x
    x = 200,206,133,136/206,775
  6. Step 6: Final answer
    x = 968,231.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.