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Finding the Third Proportional to 265,089.75 and 396,768.38

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Solution

The third proportional to 265,089.75 and 396,768.38 is: 593,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,089.75 : 396,768.38 = 396,768.38 : x
  2. Step 2: Convert to fraction form
    265,089.75/396,768.38 = 396,768.38/x
  3. Step 3: Cross multiply
    265,089.75x = 396,768.38 × 396,768.38
  4. Step 4: Simplify right side
    265,089.75x = 157,425,143,400.14
  5. Step 5: Solve for x
    x = 157,425,143,400.14/265,089.75
  6. Step 6: Final answer
    x = 593,856.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.