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Finding the Third Proportional to 230,422 and 501,234

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Solution

The third proportional to 230,422 and 501,234 is: 1,090,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,422 : 501,234 = 501,234 : x
  2. Step 2: Convert to fraction form
    230,422/501,234 = 501,234/x
  3. Step 3: Cross multiply
    230,422x = 501,234 × 501,234
  4. Step 4: Simplify right side
    230,422x = 251,235,522,756
  5. Step 5: Solve for x
    x = 251,235,522,756/230,422
  6. Step 6: Final answer
    x = 1,090,327.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.