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Finding the Third Proportional to 311,043 and 682,350

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Solution

The third proportional to 311,043 and 682,350 is: 1,496,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,043 : 682,350 = 682,350 : x
  2. Step 2: Convert to fraction form
    311,043/682,350 = 682,350/x
  3. Step 3: Cross multiply
    311,043x = 682,350 × 682,350
  4. Step 4: Simplify right side
    311,043x = 465,601,522,500
  5. Step 5: Solve for x
    x = 465,601,522,500/311,043
  6. Step 6: Final answer
    x = 1,496,904.04

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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.