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Finding the Third Proportional to 349,257.38 and 533,910.38

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Solution

The third proportional to 349,257.38 and 533,910.38 is: 816,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,257.38 : 533,910.38 = 533,910.38 : x
  2. Step 2: Convert to fraction form
    349,257.38/533,910.38 = 533,910.38/x
  3. Step 3: Cross multiply
    349,257.38x = 533,910.38 × 533,910.38
  4. Step 4: Simplify right side
    349,257.38x = 285,060,288,532.64
  5. Step 5: Solve for x
    x = 285,060,288,532.64/349,257.38
  6. Step 6: Final answer
    x = 816,189.75

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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.