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Finding the Third Proportional to 300,408.75 and 650,435.06

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Solution

The third proportional to 300,408.75 and 650,435.06 is: 1,408,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,408.75 : 650,435.06 = 650,435.06 : x
  2. Step 2: Convert to fraction form
    300,408.75/650,435.06 = 650,435.06/x
  3. Step 3: Cross multiply
    300,408.75x = 650,435.06 × 650,435.06
  4. Step 4: Simplify right side
    300,408.75x = 423,065,770,529.38
  5. Step 5: Solve for x
    x = 423,065,770,529.38/300,408.75
  6. Step 6: Final answer
    x = 1,408,300.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.