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Finding the Third Proportional to 395,286.75 and 852,349.50

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Solution

The third proportional to 395,286.75 and 852,349.50 is: 1,837,905.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,286.75 : 852,349.50 = 852,349.50 : x
  2. Step 2: Convert to fraction form
    395,286.75/852,349.50 = 852,349.50/x
  3. Step 3: Cross multiply
    395,286.75x = 852,349.50 × 852,349.50
  4. Step 4: Simplify right side
    395,286.75x = 726,499,670,150.25
  5. Step 5: Solve for x
    x = 726,499,670,150.25/395,286.75
  6. Step 6: Final answer
    x = 1,837,905.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.