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Finding the Third Proportional to 381,454.31 and 577,092.09

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Solution

The third proportional to 381,454.31 and 577,092.09 is: 873,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,454.31 : 577,092.09 = 577,092.09 : x
  2. Step 2: Convert to fraction form
    381,454.31/577,092.09 = 577,092.09/x
  3. Step 3: Cross multiply
    381,454.31x = 577,092.09 × 577,092.09
  4. Step 4: Simplify right side
    381,454.31x = 333,035,284,668.76
  5. Step 5: Solve for x
    x = 333,035,284,668.76/381,454.31
  6. Step 6: Final answer
    x = 873,067.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.