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Finding the Third Proportional to 381,896.75 and 829,477.75

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Solution

The third proportional to 381,896.75 and 829,477.75 is: 1,801,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.75 : 829,477.75 = 829,477.75 : x
  2. Step 2: Convert to fraction form
    381,896.75/829,477.75 = 829,477.75/x
  3. Step 3: Cross multiply
    381,896.75x = 829,477.75 × 829,477.75
  4. Step 4: Simplify right side
    381,896.75x = 688,033,337,745.06
  5. Step 5: Solve for x
    x = 688,033,337,745.06/381,896.75
  6. Step 6: Final answer
    x = 1,801,621.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.