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Finding the Third Proportional to 207,772 and 451,976

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Solution

The third proportional to 207,772 and 451,976 is: 983,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,772 : 451,976 = 451,976 : x
  2. Step 2: Convert to fraction form
    207,772/451,976 = 451,976/x
  3. Step 3: Cross multiply
    207,772x = 451,976 × 451,976
  4. Step 4: Simplify right side
    207,772x = 204,282,304,576
  5. Step 5: Solve for x
    x = 204,282,304,576/207,772
  6. Step 6: Final answer
    x = 983,204.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.