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Finding the Third Proportional to 303,474 and 437,166

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Solution

The third proportional to 303,474 and 437,166 is: 629,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,474 : 437,166 = 437,166 : x
  2. Step 2: Convert to fraction form
    303,474/437,166 = 437,166/x
  3. Step 3: Cross multiply
    303,474x = 437,166 × 437,166
  4. Step 4: Simplify right side
    303,474x = 191,114,111,556
  5. Step 5: Solve for x
    x = 191,114,111,556/303,474
  6. Step 6: Final answer
    x = 629,754.48

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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.