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Finding the Third Proportional to 379,840.50 and 810,529.88

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Solution

The third proportional to 379,840.50 and 810,529.88 is: 1,729,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,840.50 : 810,529.88 = 810,529.88 : x
  2. Step 2: Convert to fraction form
    379,840.50/810,529.88 = 810,529.88/x
  3. Step 3: Cross multiply
    379,840.50x = 810,529.88 × 810,529.88
  4. Step 4: Simplify right side
    379,840.50x = 656,958,678,267.52
  5. Step 5: Solve for x
    x = 656,958,678,267.52/379,840.50
  6. Step 6: Final answer
    x = 1,729,564.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.