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Finding the Third Proportional to 207,968 and 454,717

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Solution

The third proportional to 207,968 and 454,717 is: 994,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,968 : 454,717 = 454,717 : x
  2. Step 2: Convert to fraction form
    207,968/454,717 = 454,717/x
  3. Step 3: Cross multiply
    207,968x = 454,717 × 454,717
  4. Step 4: Simplify right side
    207,968x = 206,767,550,089
  5. Step 5: Solve for x
    x = 206,767,550,089/207,968
  6. Step 6: Final answer
    x = 994,227.72

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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.