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Finding the Third Proportional to 232,404 and 327,260

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Solution

The third proportional to 232,404 and 327,260 is: 460,831.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,404 : 327,260 = 327,260 : x
  2. Step 2: Convert to fraction form
    232,404/327,260 = 327,260/x
  3. Step 3: Cross multiply
    232,404x = 327,260 × 327,260
  4. Step 4: Simplify right side
    232,404x = 107,099,107,600
  5. Step 5: Solve for x
    x = 107,099,107,600/232,404
  6. Step 6: Final answer
    x = 460,831.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.