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Finding the Third Proportional to 533,493 and 800,253

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Solution

The third proportional to 533,493 and 800,253 is: 1,200,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,493 : 800,253 = 800,253 : x
  2. Step 2: Convert to fraction form
    533,493/800,253 = 800,253/x
  3. Step 3: Cross multiply
    533,493x = 800,253 × 800,253
  4. Step 4: Simplify right side
    533,493x = 640,404,864,009
  5. Step 5: Solve for x
    x = 640,404,864,009/533,493
  6. Step 6: Final answer
    x = 1,200,399.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.