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Finding the Third Proportional to 311,885.44 and 673,570.69

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Solution

The third proportional to 311,885.44 and 673,570.69 is: 1,454,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,885.44 : 673,570.69 = 673,570.69 : x
  2. Step 2: Convert to fraction form
    311,885.44/673,570.69 = 673,570.69/x
  3. Step 3: Cross multiply
    311,885.44x = 673,570.69 × 673,570.69
  4. Step 4: Simplify right side
    311,885.44x = 453,697,471,059.22
  5. Step 5: Solve for x
    x = 453,697,471,059.22/311,885.44
  6. Step 6: Final answer
    x = 1,454,692.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.