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Finding the Third Proportional to 300,828 and 451,308

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Solution

The third proportional to 300,828 and 451,308 is: 677,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,828 : 451,308 = 451,308 : x
  2. Step 2: Convert to fraction form
    300,828/451,308 = 451,308/x
  3. Step 3: Cross multiply
    300,828x = 451,308 × 451,308
  4. Step 4: Simplify right side
    300,828x = 203,678,910,864
  5. Step 5: Solve for x
    x = 203,678,910,864/300,828
  6. Step 6: Final answer
    x = 677,061.01

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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.