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Finding the Third Proportional to 380,776.78 and 836,292.09

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Solution

The third proportional to 380,776.78 and 836,292.09 is: 1,836,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,776.78 : 836,292.09 = 836,292.09 : x
  2. Step 2: Convert to fraction form
    380,776.78/836,292.09 = 836,292.09/x
  3. Step 3: Cross multiply
    380,776.78x = 836,292.09 × 836,292.09
  4. Step 4: Simplify right side
    380,776.78x = 699,384,466,068.76
  5. Step 5: Solve for x
    x = 699,384,466,068.76/380,776.78
  6. Step 6: Final answer
    x = 1,836,730.86

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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.