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Finding the Third Proportional to 189,745.03 and 407,629.97

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Solution

The third proportional to 189,745.03 and 407,629.97 is: 875,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,745.03 : 407,629.97 = 407,629.97 : x
  2. Step 2: Convert to fraction form
    189,745.03/407,629.97 = 407,629.97/x
  3. Step 3: Cross multiply
    189,745.03x = 407,629.97 × 407,629.97
  4. Step 4: Simplify right side
    189,745.03x = 166,162,191,423.13
  5. Step 5: Solve for x
    x = 166,162,191,423.13/189,745.03
  6. Step 6: Final answer
    x = 875,713.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.