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Finding the Third Proportional to 239,799 and 525,279

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Solution

The third proportional to 239,799 and 525,279 is: 1,150,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,799 : 525,279 = 525,279 : x
  2. Step 2: Convert to fraction form
    239,799/525,279 = 525,279/x
  3. Step 3: Cross multiply
    239,799x = 525,279 × 525,279
  4. Step 4: Simplify right side
    239,799x = 275,918,027,841
  5. Step 5: Solve for x
    x = 275,918,027,841/239,799
  6. Step 6: Final answer
    x = 1,150,622.10

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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.