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Finding the Third Proportional to 313,832 and 464,652

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Solution

The third proportional to 313,832 and 464,652 is: 687,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,832 : 464,652 = 464,652 : x
  2. Step 2: Convert to fraction form
    313,832/464,652 = 464,652/x
  3. Step 3: Cross multiply
    313,832x = 464,652 × 464,652
  4. Step 4: Simplify right side
    313,832x = 215,901,481,104
  5. Step 5: Solve for x
    x = 215,901,481,104/313,832
  6. Step 6: Final answer
    x = 687,952.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.