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Finding the Third Proportional to 206,544 and 451,968

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Solution

The third proportional to 206,544 and 451,968 is: 989,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,544 : 451,968 = 451,968 : x
  2. Step 2: Convert to fraction form
    206,544/451,968 = 451,968/x
  3. Step 3: Cross multiply
    206,544x = 451,968 × 451,968
  4. Step 4: Simplify right side
    206,544x = 204,275,073,024
  5. Step 5: Solve for x
    x = 204,275,073,024/206,544
  6. Step 6: Final answer
    x = 989,014.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.