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Finding the Third Proportional to 293,770 and 396,366

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Solution

The third proportional to 293,770 and 396,366 is: 534,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,770 : 396,366 = 396,366 : x
  2. Step 2: Convert to fraction form
    293,770/396,366 = 396,366/x
  3. Step 3: Cross multiply
    293,770x = 396,366 × 396,366
  4. Step 4: Simplify right side
    293,770x = 157,106,005,956
  5. Step 5: Solve for x
    x = 157,106,005,956/293,770
  6. Step 6: Final answer
    x = 534,792.55

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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.