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Finding the Third Proportional to 222,832 and 454,300

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Solution

The third proportional to 222,832 and 454,300 is: 926,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,832 : 454,300 = 454,300 : x
  2. Step 2: Convert to fraction form
    222,832/454,300 = 454,300/x
  3. Step 3: Cross multiply
    222,832x = 454,300 × 454,300
  4. Step 4: Simplify right side
    222,832x = 206,388,490,000
  5. Step 5: Solve for x
    x = 206,388,490,000/222,832
  6. Step 6: Final answer
    x = 926,206.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.