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Finding the Third Proportional to 200,622 and 304,873

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Solution

The third proportional to 200,622 and 304,873 is: 463,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622 : 304,873 = 304,873 : x
  2. Step 2: Convert to fraction form
    200,622/304,873 = 304,873/x
  3. Step 3: Cross multiply
    200,622x = 304,873 × 304,873
  4. Step 4: Simplify right side
    200,622x = 92,947,546,129
  5. Step 5: Solve for x
    x = 92,947,546,129/200,622
  6. Step 6: Final answer
    x = 463,296.88

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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.