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Finding the Third Proportional to 395,039.25 and 853,134.75

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Solution

The third proportional to 395,039.25 and 853,134.75 is: 1,842,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,039.25 : 853,134.75 = 853,134.75 : x
  2. Step 2: Convert to fraction form
    395,039.25/853,134.75 = 853,134.75/x
  3. Step 3: Cross multiply
    395,039.25x = 853,134.75 × 853,134.75
  4. Step 4: Simplify right side
    395,039.25x = 727,838,901,657.56
  5. Step 5: Solve for x
    x = 727,838,901,657.56/395,039.25
  6. Step 6: Final answer
    x = 1,842,447.05

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Why These Related Problems?

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