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Finding the Third Proportional to 393,400.50 and 844,138.50

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Solution

The third proportional to 393,400.50 and 844,138.50 is: 1,811,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,400.50 : 844,138.50 = 844,138.50 : x
  2. Step 2: Convert to fraction form
    393,400.50/844,138.50 = 844,138.50/x
  3. Step 3: Cross multiply
    393,400.50x = 844,138.50 × 844,138.50
  4. Step 4: Simplify right side
    393,400.50x = 712,569,807,182.25
  5. Step 5: Solve for x
    x = 712,569,807,182.25/393,400.50
  6. Step 6: Final answer
    x = 1,811,308.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.