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Finding the Third Proportional to 293,284 and 639,224

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Solution

The third proportional to 293,284 and 639,224 is: 1,393,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,284 : 639,224 = 639,224 : x
  2. Step 2: Convert to fraction form
    293,284/639,224 = 639,224/x
  3. Step 3: Cross multiply
    293,284x = 639,224 × 639,224
  4. Step 4: Simplify right side
    293,284x = 408,607,322,176
  5. Step 5: Solve for x
    x = 408,607,322,176/293,284
  6. Step 6: Final answer
    x = 1,393,213.82

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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.