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Finding the Third Proportional to 227,869 and 490,798

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Solution

The third proportional to 227,869 and 490,798 is: 1,057,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,869 : 490,798 = 490,798 : x
  2. Step 2: Convert to fraction form
    227,869/490,798 = 490,798/x
  3. Step 3: Cross multiply
    227,869x = 490,798 × 490,798
  4. Step 4: Simplify right side
    227,869x = 240,882,676,804
  5. Step 5: Solve for x
    x = 240,882,676,804/227,869
  6. Step 6: Final answer
    x = 1,057,110.34

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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.