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Finding the Third Proportional to 277,201.69 and 601,458.19

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Solution

The third proportional to 277,201.69 and 601,458.19 is: 1,305,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,201.69 : 601,458.19 = 601,458.19 : x
  2. Step 2: Convert to fraction form
    277,201.69/601,458.19 = 601,458.19/x
  3. Step 3: Cross multiply
    277,201.69x = 601,458.19 × 601,458.19
  4. Step 4: Simplify right side
    277,201.69x = 361,751,951,310.79
  5. Step 5: Solve for x
    x = 361,751,951,310.79/277,201.69
  6. Step 6: Final answer
    x = 1,305,013.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.