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Finding the Third Proportional to 239,832 and 519,408

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Solution

The third proportional to 239,832 and 519,408 is: 1,124,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,832 : 519,408 = 519,408 : x
  2. Step 2: Convert to fraction form
    239,832/519,408 = 519,408/x
  3. Step 3: Cross multiply
    239,832x = 519,408 × 519,408
  4. Step 4: Simplify right side
    239,832x = 269,784,670,464
  5. Step 5: Solve for x
    x = 269,784,670,464/239,832
  6. Step 6: Final answer
    x = 1,124,890.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.