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Finding the Third Proportional to 325,831.50 and 455,193

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Solution

The third proportional to 325,831.50 and 455,193 is: 635,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,831.50 : 455,193 = 455,193 : x
  2. Step 2: Convert to fraction form
    325,831.50/455,193 = 455,193/x
  3. Step 3: Cross multiply
    325,831.50x = 455,193 × 455,193
  4. Step 4: Simplify right side
    325,831.50x = 207,200,667,249
  5. Step 5: Solve for x
    x = 207,200,667,249/325,831.50
  6. Step 6: Final answer
    x = 635,913.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.