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Finding the Third Proportional to 411,282 and 952,027

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Solution

The third proportional to 411,282 and 952,027 is: 2,203,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,282 : 952,027 = 952,027 : x
  2. Step 2: Convert to fraction form
    411,282/952,027 = 952,027/x
  3. Step 3: Cross multiply
    411,282x = 952,027 × 952,027
  4. Step 4: Simplify right side
    411,282x = 906,355,408,729
  5. Step 5: Solve for x
    x = 906,355,408,729/411,282
  6. Step 6: Final answer
    x = 2,203,732.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.