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Finding the Third Proportional to 313,934 and 469,647

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Solution

The third proportional to 313,934 and 469,647 is: 702,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,934 : 469,647 = 469,647 : x
  2. Step 2: Convert to fraction form
    313,934/469,647 = 469,647/x
  3. Step 3: Cross multiply
    313,934x = 469,647 × 469,647
  4. Step 4: Simplify right side
    313,934x = 220,568,304,609
  5. Step 5: Solve for x
    x = 220,568,304,609/313,934
  6. Step 6: Final answer
    x = 702,594.51

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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.