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Finding the Third Proportional to 311,236 and 682,988

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Solution

The third proportional to 311,236 and 682,988 is: 1,498,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,236 : 682,988 = 682,988 : x
  2. Step 2: Convert to fraction form
    311,236/682,988 = 682,988/x
  3. Step 3: Cross multiply
    311,236x = 682,988 × 682,988
  4. Step 4: Simplify right side
    311,236x = 466,472,608,144
  5. Step 5: Solve for x
    x = 466,472,608,144/311,236
  6. Step 6: Final answer
    x = 1,498,774.59

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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.