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Finding the Third Proportional to 380,568.38 and 836,466.75

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Solution

The third proportional to 380,568.38 and 836,466.75 is: 1,838,504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,568.38 : 836,466.75 = 836,466.75 : x
  2. Step 2: Convert to fraction form
    380,568.38/836,466.75 = 836,466.75/x
  3. Step 3: Cross multiply
    380,568.38x = 836,466.75 × 836,466.75
  4. Step 4: Simplify right side
    380,568.38x = 699,676,623,855.56
  5. Step 5: Solve for x
    x = 699,676,623,855.56/380,568.38
  6. Step 6: Final answer
    x = 1,838,504.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.