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Finding the Third Proportional to 200,622 and 304,874

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Solution

The third proportional to 200,622 and 304,874 is: 463,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622 : 304,874 = 304,874 : x
  2. Step 2: Convert to fraction form
    200,622/304,874 = 304,874/x
  3. Step 3: Cross multiply
    200,622x = 304,874 × 304,874
  4. Step 4: Simplify right side
    200,622x = 92,948,155,876
  5. Step 5: Solve for x
    x = 92,948,155,876/200,622
  6. Step 6: Final answer
    x = 463,299.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.