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Finding the Third Proportional to 363,832 and 765,366

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Solution

The third proportional to 363,832 and 765,366 is: 1,610,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,832 : 765,366 = 765,366 : x
  2. Step 2: Convert to fraction form
    363,832/765,366 = 765,366/x
  3. Step 3: Cross multiply
    363,832x = 765,366 × 765,366
  4. Step 4: Simplify right side
    363,832x = 585,785,113,956
  5. Step 5: Solve for x
    x = 585,785,113,956/363,832
  6. Step 6: Final answer
    x = 1,610,042.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.