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Finding the Third Proportional to 303,426 and 437,075

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Solution

The third proportional to 303,426 and 437,075 is: 629,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,426 : 437,075 = 437,075 : x
  2. Step 2: Convert to fraction form
    303,426/437,075 = 437,075/x
  3. Step 3: Cross multiply
    303,426x = 437,075 × 437,075
  4. Step 4: Simplify right side
    303,426x = 191,034,555,625
  5. Step 5: Solve for x
    x = 191,034,555,625/303,426
  6. Step 6: Final answer
    x = 629,591.91

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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.