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Finding the Third Proportional to 311,811 and 682,854

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Solution

The third proportional to 311,811 and 682,854 is: 1,495,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,811 : 682,854 = 682,854 : x
  2. Step 2: Convert to fraction form
    311,811/682,854 = 682,854/x
  3. Step 3: Cross multiply
    311,811x = 682,854 × 682,854
  4. Step 4: Simplify right side
    311,811x = 466,289,585,316
  5. Step 5: Solve for x
    x = 466,289,585,316/311,811
  6. Step 6: Final answer
    x = 1,495,423.78

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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.