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Finding the Third Proportional to 395,218.62 and 850,379.92

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Solution

The third proportional to 395,218.62 and 850,379.92 is: 1,829,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,218.62 : 850,379.92 = 850,379.92 : x
  2. Step 2: Convert to fraction form
    395,218.62/850,379.92 = 850,379.92/x
  3. Step 3: Cross multiply
    395,218.62x = 850,379.92 × 850,379.92
  4. Step 4: Simplify right side
    395,218.62x = 723,146,014,849.92
  5. Step 5: Solve for x
    x = 723,146,014,849.92/395,218.62
  6. Step 6: Final answer
    x = 1,829,736.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.