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Finding the Third Proportional to 303,524 and 437,206

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Solution

The third proportional to 303,524 and 437,206 is: 629,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,524 : 437,206 = 437,206 : x
  2. Step 2: Convert to fraction form
    303,524/437,206 = 437,206/x
  3. Step 3: Cross multiply
    303,524x = 437,206 × 437,206
  4. Step 4: Simplify right side
    303,524x = 191,149,086,436
  5. Step 5: Solve for x
    x = 191,149,086,436/303,524
  6. Step 6: Final answer
    x = 629,765.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.