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Finding the Third Proportional to 552,027 and 833,286

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Solution

The third proportional to 552,027 and 833,286 is: 1,257,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,027 : 833,286 = 833,286 : x
  2. Step 2: Convert to fraction form
    552,027/833,286 = 833,286/x
  3. Step 3: Cross multiply
    552,027x = 833,286 × 833,286
  4. Step 4: Simplify right side
    552,027x = 694,365,557,796
  5. Step 5: Solve for x
    x = 694,365,557,796/552,027
  6. Step 6: Final answer
    x = 1,257,847.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.