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Finding the Third Proportional to 227,912 and 486,928

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Solution

The third proportional to 227,912 and 486,928 is: 1,040,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,912 : 486,928 = 486,928 : x
  2. Step 2: Convert to fraction form
    227,912/486,928 = 486,928/x
  3. Step 3: Cross multiply
    227,912x = 486,928 × 486,928
  4. Step 4: Simplify right side
    227,912x = 237,098,877,184
  5. Step 5: Solve for x
    x = 237,098,877,184/227,912
  6. Step 6: Final answer
    x = 1,040,308.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.