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Finding the Third Proportional to 311,223 and 682,707

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Solution

The third proportional to 311,223 and 682,707 is: 1,497,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,223 : 682,707 = 682,707 : x
  2. Step 2: Convert to fraction form
    311,223/682,707 = 682,707/x
  3. Step 3: Cross multiply
    311,223x = 682,707 × 682,707
  4. Step 4: Simplify right side
    311,223x = 466,088,847,849
  5. Step 5: Solve for x
    x = 466,088,847,849/311,223
  6. Step 6: Final answer
    x = 1,497,604.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.