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Finding the Third Proportional to 363,896 and 494,388

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Solution

The third proportional to 363,896 and 494,388 is: 671,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,896 : 494,388 = 494,388 : x
  2. Step 2: Convert to fraction form
    363,896/494,388 = 494,388/x
  3. Step 3: Cross multiply
    363,896x = 494,388 × 494,388
  4. Step 4: Simplify right side
    363,896x = 244,419,494,544
  5. Step 5: Solve for x
    x = 244,419,494,544/363,896
  6. Step 6: Final answer
    x = 671,674.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.