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Finding the Third Proportional to 422,475.75 and 879,882.75

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Solution

The third proportional to 422,475.75 and 879,882.75 is: 1,832,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,475.75 : 879,882.75 = 879,882.75 : x
  2. Step 2: Convert to fraction form
    422,475.75/879,882.75 = 879,882.75/x
  3. Step 3: Cross multiply
    422,475.75x = 879,882.75 × 879,882.75
  4. Step 4: Simplify right side
    422,475.75x = 774,193,653,747.56
  5. Step 5: Solve for x
    x = 774,193,653,747.56/422,475.75
  6. Step 6: Final answer
    x = 1,832,516.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.