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Finding the Third Proportional to 394,984.13 and 595,965.94

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Solution

The third proportional to 394,984.13 and 595,965.94 is: 899,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,984.13 : 595,965.94 = 595,965.94 : x
  2. Step 2: Convert to fraction form
    394,984.13/595,965.94 = 595,965.94/x
  3. Step 3: Cross multiply
    394,984.13x = 595,965.94 × 595,965.94
  4. Step 4: Simplify right side
    394,984.13x = 355,175,398,660.25
  5. Step 5: Solve for x
    x = 355,175,398,660.25/394,984.13
  6. Step 6: Final answer
    x = 899,214.36

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Why These Related Problems?

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