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Finding the Third Proportional to 338,721 and 519,793

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Solution

The third proportional to 338,721 and 519,793 is: 797,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,721 : 519,793 = 519,793 : x
  2. Step 2: Convert to fraction form
    338,721/519,793 = 519,793/x
  3. Step 3: Cross multiply
    338,721x = 519,793 × 519,793
  4. Step 4: Simplify right side
    338,721x = 270,184,762,849
  5. Step 5: Solve for x
    x = 270,184,762,849/338,721
  6. Step 6: Final answer
    x = 797,661.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.