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Finding the Third Proportional to 252,961 and 538,694.38

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Solution

The third proportional to 252,961 and 538,694.38 is: 1,147,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,961 : 538,694.38 = 538,694.38 : x
  2. Step 2: Convert to fraction form
    252,961/538,694.38 = 538,694.38/x
  3. Step 3: Cross multiply
    252,961x = 538,694.38 × 538,694.38
  4. Step 4: Simplify right side
    252,961x = 290,191,629,656.64
  5. Step 5: Solve for x
    x = 290,191,629,656.64/252,961
  6. Step 6: Final answer
    x = 1,147,179.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.