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Finding the Third Proportional to 223,494 and 475,795

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Solution

The third proportional to 223,494 and 475,795 is: 1,012,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,494 : 475,795 = 475,795 : x
  2. Step 2: Convert to fraction form
    223,494/475,795 = 475,795/x
  3. Step 3: Cross multiply
    223,494x = 475,795 × 475,795
  4. Step 4: Simplify right side
    223,494x = 226,380,882,025
  5. Step 5: Solve for x
    x = 226,380,882,025/223,494
  6. Step 6: Final answer
    x = 1,012,917.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.