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Finding the Third Proportional to 273,764 and 401,187

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Solution

The third proportional to 273,764 and 401,187 is: 587,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,764 : 401,187 = 401,187 : x
  2. Step 2: Convert to fraction form
    273,764/401,187 = 401,187/x
  3. Step 3: Cross multiply
    273,764x = 401,187 × 401,187
  4. Step 4: Simplify right side
    273,764x = 160,951,008,969
  5. Step 5: Solve for x
    x = 160,951,008,969/273,764
  6. Step 6: Final answer
    x = 587,918.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.