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Finding the Third Proportional to 325,992 and 515,232

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Solution

The third proportional to 325,992 and 515,232 is: 814,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,992 : 515,232 = 515,232 : x
  2. Step 2: Convert to fraction form
    325,992/515,232 = 515,232/x
  3. Step 3: Cross multiply
    325,992x = 515,232 × 515,232
  4. Step 4: Simplify right side
    325,992x = 265,464,013,824
  5. Step 5: Solve for x
    x = 265,464,013,824/325,992
  6. Step 6: Final answer
    x = 814,326.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.