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Finding the Third Proportional to 293,764.78 and 396,358.59

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Solution

The third proportional to 293,764.78 and 396,358.59 is: 534,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,764.78 : 396,358.59 = 396,358.59 : x
  2. Step 2: Convert to fraction form
    293,764.78/396,358.59 = 396,358.59/x
  3. Step 3: Cross multiply
    293,764.78x = 396,358.59 × 396,358.59
  4. Step 4: Simplify right side
    293,764.78x = 157,100,134,839.48
  5. Step 5: Solve for x
    x = 157,100,134,839.48/293,764.78
  6. Step 6: Final answer
    x = 534,782.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.