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Finding the Third Proportional to 227,901 and 490,845

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Solution

The third proportional to 227,901 and 490,845 is: 1,057,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,901 : 490,845 = 490,845 : x
  2. Step 2: Convert to fraction form
    227,901/490,845 = 490,845/x
  3. Step 3: Cross multiply
    227,901x = 490,845 × 490,845
  4. Step 4: Simplify right side
    227,901x = 240,928,814,025
  5. Step 5: Solve for x
    x = 240,928,814,025/227,901
  6. Step 6: Final answer
    x = 1,057,164.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.