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Finding the Third Proportional to 293,199 and 640,380

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Solution

The third proportional to 293,199 and 640,380 is: 1,398,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,199 : 640,380 = 640,380 : x
  2. Step 2: Convert to fraction form
    293,199/640,380 = 640,380/x
  3. Step 3: Cross multiply
    293,199x = 640,380 × 640,380
  4. Step 4: Simplify right side
    293,199x = 410,086,544,400
  5. Step 5: Solve for x
    x = 410,086,544,400/293,199
  6. Step 6: Final answer
    x = 1,398,662.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.