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Finding the Third Proportional to 394,133 and 861,883

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Solution

The third proportional to 394,133 and 861,883 is: 1,884,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,133 : 861,883 = 861,883 : x
  2. Step 2: Convert to fraction form
    394,133/861,883 = 861,883/x
  3. Step 3: Cross multiply
    394,133x = 861,883 × 861,883
  4. Step 4: Simplify right side
    394,133x = 742,842,305,689
  5. Step 5: Solve for x
    x = 742,842,305,689/394,133
  6. Step 6: Final answer
    x = 1,884,750.34

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Why These Related Problems?

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