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Finding the Third Proportional to 368,339.50 and 519,909.50

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Solution

The third proportional to 368,339.50 and 519,909.50 is: 733,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,339.50 : 519,909.50 = 519,909.50 : x
  2. Step 2: Convert to fraction form
    368,339.50/519,909.50 = 519,909.50/x
  3. Step 3: Cross multiply
    368,339.50x = 519,909.50 × 519,909.50
  4. Step 4: Simplify right side
    368,339.50x = 270,305,888,190.25
  5. Step 5: Solve for x
    x = 270,305,888,190.25/368,339.50
  6. Step 6: Final answer
    x = 733,849.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.