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Finding the Third Proportional to 335,996 and 519,872

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Solution

The third proportional to 335,996 and 519,872 is: 804,375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,996 : 519,872 = 519,872 : x
  2. Step 2: Convert to fraction form
    335,996/519,872 = 519,872/x
  3. Step 3: Cross multiply
    335,996x = 519,872 × 519,872
  4. Step 4: Simplify right side
    335,996x = 270,266,896,384
  5. Step 5: Solve for x
    x = 270,266,896,384/335,996
  6. Step 6: Final answer
    x = 804,375.34

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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.