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Finding the Third Proportional to 227,127 and 494,025

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Solution

The third proportional to 227,127 and 494,025 is: 1,074,556.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,127 : 494,025 = 494,025 : x
  2. Step 2: Convert to fraction form
    227,127/494,025 = 494,025/x
  3. Step 3: Cross multiply
    227,127x = 494,025 × 494,025
  4. Step 4: Simplify right side
    227,127x = 244,060,700,625
  5. Step 5: Solve for x
    x = 244,060,700,625/227,127
  6. Step 6: Final answer
    x = 1,074,556.09

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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.