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Finding the Third Proportional to 227,790 and 339,837

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Solution

The third proportional to 227,790 and 339,837 is: 506,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,790 : 339,837 = 339,837 : x
  2. Step 2: Convert to fraction form
    227,790/339,837 = 339,837/x
  3. Step 3: Cross multiply
    227,790x = 339,837 × 339,837
  4. Step 4: Simplify right side
    227,790x = 115,489,186,569
  5. Step 5: Solve for x
    x = 115,489,186,569/227,790
  6. Step 6: Final answer
    x = 506,998.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.