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Finding the Third Proportional to 227,141 and 494,053

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Solution

The third proportional to 227,141 and 494,053 is: 1,074,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,141 : 494,053 = 494,053 : x
  2. Step 2: Convert to fraction form
    227,141/494,053 = 494,053/x
  3. Step 3: Cross multiply
    227,141x = 494,053 × 494,053
  4. Step 4: Simplify right side
    227,141x = 244,088,366,809
  5. Step 5: Solve for x
    x = 244,088,366,809/227,141
  6. Step 6: Final answer
    x = 1,074,611.66

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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.