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Finding the Third Proportional to 367,992 and 539,868

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Solution

The third proportional to 367,992 and 539,868 is: 792,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,992 : 539,868 = 539,868 : x
  2. Step 2: Convert to fraction form
    367,992/539,868 = 539,868/x
  3. Step 3: Cross multiply
    367,992x = 539,868 × 539,868
  4. Step 4: Simplify right side
    367,992x = 291,457,457,424
  5. Step 5: Solve for x
    x = 291,457,457,424/367,992
  6. Step 6: Final answer
    x = 792,021.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.