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Finding the Third Proportional to 227,794 and 350,610

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Solution

The third proportional to 227,794 and 350,610 is: 539,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,794 : 350,610 = 350,610 : x
  2. Step 2: Convert to fraction form
    227,794/350,610 = 350,610/x
  3. Step 3: Cross multiply
    227,794x = 350,610 × 350,610
  4. Step 4: Simplify right side
    227,794x = 122,927,372,100
  5. Step 5: Solve for x
    x = 122,927,372,100/227,794
  6. Step 6: Final answer
    x = 539,642.71

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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.