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Finding the Third Proportional to 304,298 and 617,812

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Solution

The third proportional to 304,298 and 617,812 is: 1,254,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,298 : 617,812 = 617,812 : x
  2. Step 2: Convert to fraction form
    304,298/617,812 = 617,812/x
  3. Step 3: Cross multiply
    304,298x = 617,812 × 617,812
  4. Step 4: Simplify right side
    304,298x = 381,691,667,344
  5. Step 5: Solve for x
    x = 381,691,667,344/304,298
  6. Step 6: Final answer
    x = 1,254,335.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.