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Finding the Third Proportional to 252,992 and 529,232

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Solution

The third proportional to 252,992 and 529,232 is: 1,107,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,992 : 529,232 = 529,232 : x
  2. Step 2: Convert to fraction form
    252,992/529,232 = 529,232/x
  3. Step 3: Cross multiply
    252,992x = 529,232 × 529,232
  4. Step 4: Simplify right side
    252,992x = 280,086,509,824
  5. Step 5: Solve for x
    x = 280,086,509,824/252,992
  6. Step 6: Final answer
    x = 1,107,096.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.