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Finding the Third Proportional to 239,794 and 525,272

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Solution

The third proportional to 239,794 and 525,272 is: 1,150,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,794 : 525,272 = 525,272 : x
  2. Step 2: Convert to fraction form
    239,794/525,272 = 525,272/x
  3. Step 3: Cross multiply
    239,794x = 525,272 × 525,272
  4. Step 4: Simplify right side
    239,794x = 275,910,673,984
  5. Step 5: Solve for x
    x = 275,910,673,984/239,794
  6. Step 6: Final answer
    x = 1,150,615.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.