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Finding the Third Proportional to 533,568 and 813,906

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Solution

The third proportional to 533,568 and 813,906 is: 1,241,534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,568 : 813,906 = 813,906 : x
  2. Step 2: Convert to fraction form
    533,568/813,906 = 813,906/x
  3. Step 3: Cross multiply
    533,568x = 813,906 × 813,906
  4. Step 4: Simplify right side
    533,568x = 662,442,976,836
  5. Step 5: Solve for x
    x = 662,442,976,836/533,568
  6. Step 6: Final answer
    x = 1,241,534.31

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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.