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Finding the Third Proportional to 379,311.19 and 806,896.69

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Solution

The third proportional to 379,311.19 and 806,896.69 is: 1,716,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,311.19 : 806,896.69 = 806,896.69 : x
  2. Step 2: Convert to fraction form
    379,311.19/806,896.69 = 806,896.69/x
  3. Step 3: Cross multiply
    379,311.19x = 806,896.69 × 806,896.69
  4. Step 4: Simplify right side
    379,311.19x = 651,082,264,298.47
  5. Step 5: Solve for x
    x = 651,082,264,298.47/379,311.19
  6. Step 6: Final answer
    x = 1,716,485.79

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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.