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Finding the Third Proportional to 394,419.50 and 863,469

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Solution

The third proportional to 394,419.50 and 863,469 is: 1,890,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,419.50 : 863,469 = 863,469 : x
  2. Step 2: Convert to fraction form
    394,419.50/863,469 = 863,469/x
  3. Step 3: Cross multiply
    394,419.50x = 863,469 × 863,469
  4. Step 4: Simplify right side
    394,419.50x = 745,578,713,961
  5. Step 5: Solve for x
    x = 745,578,713,961/394,419.50
  6. Step 6: Final answer
    x = 1,890,319.10

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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.