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Finding the Third Proportional to 303,513 and 437,193

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Solution

The third proportional to 303,513 and 437,193 is: 629,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,513 : 437,193 = 437,193 : x
  2. Step 2: Convert to fraction form
    303,513/437,193 = 437,193/x
  3. Step 3: Cross multiply
    303,513x = 437,193 × 437,193
  4. Step 4: Simplify right side
    303,513x = 191,137,719,249
  5. Step 5: Solve for x
    x = 191,137,719,249/303,513
  6. Step 6: Final answer
    x = 629,751.34

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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.