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Finding the Third Proportional to 394,058.25 and 866,848.50

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Solution

The third proportional to 394,058.25 and 866,848.50 is: 1,906,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,058.25 : 866,848.50 = 866,848.50 : x
  2. Step 2: Convert to fraction form
    394,058.25/866,848.50 = 866,848.50/x
  3. Step 3: Cross multiply
    394,058.25x = 866,848.50 × 866,848.50
  4. Step 4: Simplify right side
    394,058.25x = 751,426,321,952.25
  5. Step 5: Solve for x
    x = 751,426,321,952.25/394,058.25
  6. Step 6: Final answer
    x = 1,906,891.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.