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Finding the Third Proportional to 227,151 and 494,073

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Solution

The third proportional to 227,151 and 494,073 is: 1,074,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,151 : 494,073 = 494,073 : x
  2. Step 2: Convert to fraction form
    227,151/494,073 = 494,073/x
  3. Step 3: Cross multiply
    227,151x = 494,073 × 494,073
  4. Step 4: Simplify right side
    227,151x = 244,108,129,329
  5. Step 5: Solve for x
    x = 244,108,129,329/227,151
  6. Step 6: Final answer
    x = 1,074,651.35

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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.