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Finding the Third Proportional to 311,676 and 673,168

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Solution

The third proportional to 311,676 and 673,168 is: 1,453,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,676 : 673,168 = 673,168 : x
  2. Step 2: Convert to fraction form
    311,676/673,168 = 673,168/x
  3. Step 3: Cross multiply
    311,676x = 673,168 × 673,168
  4. Step 4: Simplify right side
    311,676x = 453,155,156,224
  5. Step 5: Solve for x
    x = 453,155,156,224/311,676
  6. Step 6: Final answer
    x = 1,453,930.22

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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.