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Finding the Third Proportional to 393,586.88 and 815,178.38

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Solution

The third proportional to 393,586.88 and 815,178.38 is: 1,688,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,586.88 : 815,178.38 = 815,178.38 : x
  2. Step 2: Convert to fraction form
    393,586.88/815,178.38 = 815,178.38/x
  3. Step 3: Cross multiply
    393,586.88x = 815,178.38 × 815,178.38
  4. Step 4: Simplify right side
    393,586.88x = 664,515,783,067.64
  5. Step 5: Solve for x
    x = 664,515,783,067.64/393,586.88
  6. Step 6: Final answer
    x = 1,688,358.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.