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Finding the Third Proportional to 293,768.25 and 396,363.38

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Solution

The third proportional to 293,768.25 and 396,363.38 is: 534,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,768.25 : 396,363.38 = 396,363.38 : x
  2. Step 2: Convert to fraction form
    293,768.25/396,363.38 = 396,363.38/x
  3. Step 3: Cross multiply
    293,768.25x = 396,363.38 × 396,363.38
  4. Step 4: Simplify right side
    293,768.25x = 157,103,925,041.39
  5. Step 5: Solve for x
    x = 157,103,925,041.39/293,768.25
  6. Step 6: Final answer
    x = 534,788.65

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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.