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Finding the Third Proportional to 395,769.38 and 613,200.38

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Solution

The third proportional to 395,769.38 and 613,200.38 is: 950,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,769.38 : 613,200.38 = 613,200.38 : x
  2. Step 2: Convert to fraction form
    395,769.38/613,200.38 = 613,200.38/x
  3. Step 3: Cross multiply
    395,769.38x = 613,200.38 × 613,200.38
  4. Step 4: Simplify right side
    395,769.38x = 376,014,699,900.14
  5. Step 5: Solve for x
    x = 376,014,699,900.14/395,769.38
  6. Step 6: Final answer
    x = 950,085.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.