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Finding the Third Proportional to 412,431.75 and 864,285.19

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Solution

The third proportional to 412,431.75 and 864,285.19 is: 1,811,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,431.75 : 864,285.19 = 864,285.19 : x
  2. Step 2: Convert to fraction form
    412,431.75/864,285.19 = 864,285.19/x
  3. Step 3: Cross multiply
    412,431.75x = 864,285.19 × 864,285.19
  4. Step 4: Simplify right side
    412,431.75x = 746,988,885,331.91
  5. Step 5: Solve for x
    x = 746,988,885,331.91/412,431.75
  6. Step 6: Final answer
    x = 1,811,181.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.