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Finding the Third Proportional to 449,194 and 673,099

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Solution

The third proportional to 449,194 and 673,099 is: 1,008,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,194 : 673,099 = 673,099 : x
  2. Step 2: Convert to fraction form
    449,194/673,099 = 673,099/x
  3. Step 3: Cross multiply
    449,194x = 673,099 × 673,099
  4. Step 4: Simplify right side
    449,194x = 453,062,263,801
  5. Step 5: Solve for x
    x = 453,062,263,801/449,194
  6. Step 6: Final answer
    x = 1,008,611.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.