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Finding the Third Proportional to 394,518.50 and 862,844.50

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Solution

The third proportional to 394,518.50 and 862,844.50 is: 1,887,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,518.50 : 862,844.50 = 862,844.50 : x
  2. Step 2: Convert to fraction form
    394,518.50/862,844.50 = 862,844.50/x
  3. Step 3: Cross multiply
    394,518.50x = 862,844.50 × 862,844.50
  4. Step 4: Simplify right side
    394,518.50x = 744,500,631,180.25
  5. Step 5: Solve for x
    x = 744,500,631,180.25/394,518.50
  6. Step 6: Final answer
    x = 1,887,112.09

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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.