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Finding the Third Proportional to 311,148 and 606,744

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Solution

The third proportional to 311,148 and 606,744 is: 1,183,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,148 : 606,744 = 606,744 : x
  2. Step 2: Convert to fraction form
    311,148/606,744 = 606,744/x
  3. Step 3: Cross multiply
    311,148x = 606,744 × 606,744
  4. Step 4: Simplify right side
    311,148x = 368,138,281,536
  5. Step 5: Solve for x
    x = 368,138,281,536/311,148
  6. Step 6: Final answer
    x = 1,183,161.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.