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Finding the Third Proportional to 325,548 and 504,016

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Solution

The third proportional to 325,548 and 504,016 is: 780,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,548 : 504,016 = 504,016 : x
  2. Step 2: Convert to fraction form
    325,548/504,016 = 504,016/x
  3. Step 3: Cross multiply
    325,548x = 504,016 × 504,016
  4. Step 4: Simplify right side
    325,548x = 254,032,128,256
  5. Step 5: Solve for x
    x = 254,032,128,256/325,548
  6. Step 6: Final answer
    x = 780,321.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.