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Finding the Third Proportional to 379,191.38 and 834,654.38

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Solution

The third proportional to 379,191.38 and 834,654.38 is: 1,837,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,191.38 : 834,654.38 = 834,654.38 : x
  2. Step 2: Convert to fraction form
    379,191.38/834,654.38 = 834,654.38/x
  3. Step 3: Cross multiply
    379,191.38x = 834,654.38 × 834,654.38
  4. Step 4: Simplify right side
    379,191.38x = 696,647,925,706.64
  5. Step 5: Solve for x
    x = 696,647,925,706.64/379,191.38
  6. Step 6: Final answer
    x = 1,837,193.49

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Why These Related Problems?

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