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Finding the Third Proportional to 523,622 and 806,027

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Solution

The third proportional to 523,622 and 806,027 is: 1,240,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,622 : 806,027 = 806,027 : x
  2. Step 2: Convert to fraction form
    523,622/806,027 = 806,027/x
  3. Step 3: Cross multiply
    523,622x = 806,027 × 806,027
  4. Step 4: Simplify right side
    523,622x = 649,679,524,729
  5. Step 5: Solve for x
    x = 649,679,524,729/523,622
  6. Step 6: Final answer
    x = 1,240,741.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.