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Finding the Third Proportional to 313,175.25 and 670,632.75

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Solution

The third proportional to 313,175.25 and 670,632.75 is: 1,436,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,175.25 : 670,632.75 = 670,632.75 : x
  2. Step 2: Convert to fraction form
    313,175.25/670,632.75 = 670,632.75/x
  3. Step 3: Cross multiply
    313,175.25x = 670,632.75 × 670,632.75
  4. Step 4: Simplify right side
    313,175.25x = 449,748,285,372.56
  5. Step 5: Solve for x
    x = 449,748,285,372.56/313,175.25
  6. Step 6: Final answer
    x = 1,436,091.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.