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Finding the Third Proportional to 313,635 and 679,110

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Solution

The third proportional to 313,635 and 679,110 is: 1,470,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,635 : 679,110 = 679,110 : x
  2. Step 2: Convert to fraction form
    313,635/679,110 = 679,110/x
  3. Step 3: Cross multiply
    313,635x = 679,110 × 679,110
  4. Step 4: Simplify right side
    313,635x = 461,190,392,100
  5. Step 5: Solve for x
    x = 461,190,392,100/313,635
  6. Step 6: Final answer
    x = 1,470,468.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.