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Finding the Third Proportional to 300,828 and 451,307

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Solution

The third proportional to 300,828 and 451,307 is: 677,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,828 : 451,307 = 451,307 : x
  2. Step 2: Convert to fraction form
    300,828/451,307 = 451,307/x
  3. Step 3: Cross multiply
    300,828x = 451,307 × 451,307
  4. Step 4: Simplify right side
    300,828x = 203,678,008,249
  5. Step 5: Solve for x
    x = 203,678,008,249/300,828
  6. Step 6: Final answer
    x = 677,058.01

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