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Finding the Third Proportional to 394,857 and 627,277.50

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Solution

The third proportional to 394,857 and 627,277.50 is: 996,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,857 : 627,277.50 = 627,277.50 : x
  2. Step 2: Convert to fraction form
    394,857/627,277.50 = 627,277.50/x
  3. Step 3: Cross multiply
    394,857x = 627,277.50 × 627,277.50
  4. Step 4: Simplify right side
    394,857x = 393,477,062,006.25
  5. Step 5: Solve for x
    x = 393,477,062,006.25/394,857
  6. Step 6: Final answer
    x = 996,505.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.