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Finding the Third Proportional to 533,544 and 813,867

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Solution

The third proportional to 533,544 and 813,867 is: 1,241,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,544 : 813,867 = 813,867 : x
  2. Step 2: Convert to fraction form
    533,544/813,867 = 813,867/x
  3. Step 3: Cross multiply
    533,544x = 813,867 × 813,867
  4. Step 4: Simplify right side
    533,544x = 662,379,493,689
  5. Step 5: Solve for x
    x = 662,379,493,689/533,544
  6. Step 6: Final answer
    x = 1,241,471.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.