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Finding the Third Proportional to 379,892.53 and 810,622.69

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Solution

The third proportional to 379,892.53 and 810,622.69 is: 1,729,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,892.53 : 810,622.69 = 810,622.69 : x
  2. Step 2: Convert to fraction form
    379,892.53/810,622.69 = 810,622.69/x
  3. Step 3: Cross multiply
    379,892.53x = 810,622.69 × 810,622.69
  4. Step 4: Simplify right side
    379,892.53x = 657,109,141,489.72
  5. Step 5: Solve for x
    x = 657,109,141,489.72/379,892.53
  6. Step 6: Final answer
    x = 1,729,723.77

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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.