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Finding the Third Proportional to 244,619 and 374,223

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Solution

The third proportional to 244,619 and 374,223 is: 572,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,619 : 374,223 = 374,223 : x
  2. Step 2: Convert to fraction form
    244,619/374,223 = 374,223/x
  3. Step 3: Cross multiply
    244,619x = 374,223 × 374,223
  4. Step 4: Simplify right side
    244,619x = 140,042,853,729
  5. Step 5: Solve for x
    x = 140,042,853,729/244,619
  6. Step 6: Final answer
    x = 572,493.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.