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Finding the Third Proportional to 313,824 and 679,168

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Solution

The third proportional to 313,824 and 679,168 is: 1,469,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,824 : 679,168 = 679,168 : x
  2. Step 2: Convert to fraction form
    313,824/679,168 = 679,168/x
  3. Step 3: Cross multiply
    313,824x = 679,168 × 679,168
  4. Step 4: Simplify right side
    313,824x = 461,269,172,224
  5. Step 5: Solve for x
    x = 461,269,172,224/313,824
  6. Step 6: Final answer
    x = 1,469,833.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.