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Finding the Third Proportional to 303,425 and 437,074

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Solution

The third proportional to 303,425 and 437,074 is: 629,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,425 : 437,074 = 437,074 : x
  2. Step 2: Convert to fraction form
    303,425/437,074 = 437,074/x
  3. Step 3: Cross multiply
    303,425x = 437,074 × 437,074
  4. Step 4: Simplify right side
    303,425x = 191,033,681,476
  5. Step 5: Solve for x
    x = 191,033,681,476/303,425
  6. Step 6: Final answer
    x = 629,591.11

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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.