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Finding the Third Proportional to 300,832 and 451,313

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Solution

The third proportional to 300,832 and 451,313 is: 677,067.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,832 : 451,313 = 451,313 : x
  2. Step 2: Convert to fraction form
    300,832/451,313 = 451,313/x
  3. Step 3: Cross multiply
    300,832x = 451,313 × 451,313
  4. Step 4: Simplify right side
    300,832x = 203,683,423,969
  5. Step 5: Solve for x
    x = 203,683,423,969/300,832
  6. Step 6: Final answer
    x = 677,067.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.