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Finding the Third Proportional to 325,016 and 496,164

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Solution

The third proportional to 325,016 and 496,164 is: 757,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,016 : 496,164 = 496,164 : x
  2. Step 2: Convert to fraction form
    325,016/496,164 = 496,164/x
  3. Step 3: Cross multiply
    325,016x = 496,164 × 496,164
  4. Step 4: Simplify right side
    325,016x = 246,178,714,896
  5. Step 5: Solve for x
    x = 246,178,714,896/325,016
  6. Step 6: Final answer
    x = 757,435.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.