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Finding the Third Proportional to 360,410.06 and 792,764.44

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Solution

The third proportional to 360,410.06 and 792,764.44 is: 1,743,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,410.06 : 792,764.44 = 792,764.44 : x
  2. Step 2: Convert to fraction form
    360,410.06/792,764.44 = 792,764.44/x
  3. Step 3: Cross multiply
    360,410.06x = 792,764.44 × 792,764.44
  4. Step 4: Simplify right side
    360,410.06x = 628,475,453,364.69
  5. Step 5: Solve for x
    x = 628,475,453,364.69/360,410.06
  6. Step 6: Final answer
    x = 1,743,778.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.