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Finding the Third Proportional to 311,006 and 467,695

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Solution

The third proportional to 311,006 and 467,695 is: 703,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,006 : 467,695 = 467,695 : x
  2. Step 2: Convert to fraction form
    311,006/467,695 = 467,695/x
  3. Step 3: Cross multiply
    311,006x = 467,695 × 467,695
  4. Step 4: Simplify right side
    311,006x = 218,738,613,025
  5. Step 5: Solve for x
    x = 218,738,613,025/311,006
  6. Step 6: Final answer
    x = 703,326.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.