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Finding the Third Proportional to 394,110 and 861,828.75

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Solution

The third proportional to 394,110 and 861,828.75 is: 1,884,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,110 : 861,828.75 = 861,828.75 : x
  2. Step 2: Convert to fraction form
    394,110/861,828.75 = 861,828.75/x
  3. Step 3: Cross multiply
    394,110x = 861,828.75 × 861,828.75
  4. Step 4: Simplify right side
    394,110x = 742,748,794,326.56
  5. Step 5: Solve for x
    x = 742,748,794,326.56/394,110
  6. Step 6: Final answer
    x = 1,884,623.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.