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Finding the Third Proportional to 343,544 and 483,756

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Solution

The third proportional to 343,544 and 483,756 is: 681,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,544 : 483,756 = 483,756 : x
  2. Step 2: Convert to fraction form
    343,544/483,756 = 483,756/x
  3. Step 3: Cross multiply
    343,544x = 483,756 × 483,756
  4. Step 4: Simplify right side
    343,544x = 234,019,867,536
  5. Step 5: Solve for x
    x = 234,019,867,536/343,544
  6. Step 6: Final answer
    x = 681,193.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.