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Finding the Third Proportional to 217,647 and 454,968

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Solution

The third proportional to 217,647 and 454,968 is: 951,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,647 : 454,968 = 454,968 : x
  2. Step 2: Convert to fraction form
    217,647/454,968 = 454,968/x
  3. Step 3: Cross multiply
    217,647x = 454,968 × 454,968
  4. Step 4: Simplify right side
    217,647x = 206,995,881,024
  5. Step 5: Solve for x
    x = 206,995,881,024/217,647
  6. Step 6: Final answer
    x = 951,062.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.