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Finding the Third Proportional to 303,462 and 437,119

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Solution

The third proportional to 303,462 and 437,119 is: 629,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,462 : 437,119 = 437,119 : x
  2. Step 2: Convert to fraction form
    303,462/437,119 = 437,119/x
  3. Step 3: Cross multiply
    303,462x = 437,119 × 437,119
  4. Step 4: Simplify right side
    303,462x = 191,073,020,161
  5. Step 5: Solve for x
    x = 191,073,020,161/303,462
  6. Step 6: Final answer
    x = 629,643.98

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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.