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Finding the Third Proportional to 303,367 and 437,007

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Solution

The third proportional to 303,367 and 437,007 is: 629,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,367 : 437,007 = 437,007 : x
  2. Step 2: Convert to fraction form
    303,367/437,007 = 437,007/x
  3. Step 3: Cross multiply
    303,367x = 437,007 × 437,007
  4. Step 4: Simplify right side
    303,367x = 190,975,118,049
  5. Step 5: Solve for x
    x = 190,975,118,049/303,367
  6. Step 6: Final answer
    x = 629,518.43

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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.