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Finding the Third Proportional to 395,057.25 and 932,208.75

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Solution

The third proportional to 395,057.25 and 932,208.75 is: 2,199,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,057.25 : 932,208.75 = 932,208.75 : x
  2. Step 2: Convert to fraction form
    395,057.25/932,208.75 = 932,208.75/x
  3. Step 3: Cross multiply
    395,057.25x = 932,208.75 × 932,208.75
  4. Step 4: Simplify right side
    395,057.25x = 869,013,153,576.56
  5. Step 5: Solve for x
    x = 869,013,153,576.56/395,057.25
  6. Step 6: Final answer
    x = 2,199,714.48

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.