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Finding the Third Proportional to 394,695.28 and 816,467.34

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Solution

The third proportional to 394,695.28 and 816,467.34 is: 1,688,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,695.28 : 816,467.34 = 816,467.34 : x
  2. Step 2: Convert to fraction form
    394,695.28/816,467.34 = 816,467.34/x
  3. Step 3: Cross multiply
    394,695.28x = 816,467.34 × 816,467.34
  4. Step 4: Simplify right side
    394,695.28x = 666,618,923,410.18
  5. Step 5: Solve for x
    x = 666,618,923,410.18/394,695.28
  6. Step 6: Final answer
    x = 1,688,945.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.