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Finding the Third Proportional to 211,589 and 327,833

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Solution

The third proportional to 211,589 and 327,833 is: 507,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,589 : 327,833 = 327,833 : x
  2. Step 2: Convert to fraction form
    211,589/327,833 = 327,833/x
  3. Step 3: Cross multiply
    211,589x = 327,833 × 327,833
  4. Step 4: Simplify right side
    211,589x = 107,474,475,889
  5. Step 5: Solve for x
    x = 107,474,475,889/211,589
  6. Step 6: Final answer
    x = 507,939.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.