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Finding the Third Proportional to 293,764 and 396,358

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Solution

The third proportional to 293,764 and 396,358 is: 534,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,764 : 396,358 = 396,358 : x
  2. Step 2: Convert to fraction form
    293,764/396,358 = 396,358/x
  3. Step 3: Cross multiply
    293,764x = 396,358 × 396,358
  4. Step 4: Simplify right side
    293,764x = 157,099,664,164
  5. Step 5: Solve for x
    x = 157,099,664,164/293,764
  6. Step 6: Final answer
    x = 534,781.88

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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.