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Finding the Third Proportional to 227,907 and 527,634

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Solution

The third proportional to 227,907 and 527,634 is: 1,221,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,907 : 527,634 = 527,634 : x
  2. Step 2: Convert to fraction form
    227,907/527,634 = 527,634/x
  3. Step 3: Cross multiply
    227,907x = 527,634 × 527,634
  4. Step 4: Simplify right side
    227,907x = 278,397,637,956
  5. Step 5: Solve for x
    x = 278,397,637,956/227,907
  6. Step 6: Final answer
    x = 1,221,540.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.