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Finding the Third Proportional to 227,869 and 490,797

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Solution

The third proportional to 227,869 and 490,797 is: 1,057,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,869 : 490,797 = 490,797 : x
  2. Step 2: Convert to fraction form
    227,869/490,797 = 490,797/x
  3. Step 3: Cross multiply
    227,869x = 490,797 × 490,797
  4. Step 4: Simplify right side
    227,869x = 240,881,695,209
  5. Step 5: Solve for x
    x = 240,881,695,209/227,869
  6. Step 6: Final answer
    x = 1,057,106.04

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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.