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Finding the Third Proportional to 536,373 and 810,027

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Solution

The third proportional to 536,373 and 810,027 is: 1,223,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,373 : 810,027 = 810,027 : x
  2. Step 2: Convert to fraction form
    536,373/810,027 = 810,027/x
  3. Step 3: Cross multiply
    536,373x = 810,027 × 810,027
  4. Step 4: Simplify right side
    536,373x = 656,143,740,729
  5. Step 5: Solve for x
    x = 656,143,740,729/536,373
  6. Step 6: Final answer
    x = 1,223,297.48

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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.