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Finding the Third Proportional to 344,228 and 483,891

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Solution

The third proportional to 344,228 and 483,891 is: 680,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,228 : 483,891 = 483,891 : x
  2. Step 2: Convert to fraction form
    344,228/483,891 = 483,891/x
  3. Step 3: Cross multiply
    344,228x = 483,891 × 483,891
  4. Step 4: Simplify right side
    344,228x = 234,150,499,881
  5. Step 5: Solve for x
    x = 234,150,499,881/344,228
  6. Step 6: Final answer
    x = 680,219.21

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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.