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Finding the Third Proportional to 223,497 and 477,234

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Solution

The third proportional to 223,497 and 477,234 is: 1,019,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,497 : 477,234 = 477,234 : x
  2. Step 2: Convert to fraction form
    223,497/477,234 = 477,234/x
  3. Step 3: Cross multiply
    223,497x = 477,234 × 477,234
  4. Step 4: Simplify right side
    223,497x = 227,752,290,756
  5. Step 5: Solve for x
    x = 227,752,290,756/223,497
  6. Step 6: Final answer
    x = 1,019,039.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.