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Finding the Third Proportional to 206,728 and 446,504

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Solution

The third proportional to 206,728 and 446,504 is: 964,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,728 : 446,504 = 446,504 : x
  2. Step 2: Convert to fraction form
    206,728/446,504 = 446,504/x
  3. Step 3: Cross multiply
    206,728x = 446,504 × 446,504
  4. Step 4: Simplify right side
    206,728x = 199,365,822,016
  5. Step 5: Solve for x
    x = 199,365,822,016/206,728
  6. Step 6: Final answer
    x = 964,387.13

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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.