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Finding the Third Proportional to 293,960 and 454,197

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Solution

The third proportional to 293,960 and 454,197 is: 701,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,960 : 454,197 = 454,197 : x
  2. Step 2: Convert to fraction form
    293,960/454,197 = 454,197/x
  3. Step 3: Cross multiply
    293,960x = 454,197 × 454,197
  4. Step 4: Simplify right side
    293,960x = 206,294,914,809
  5. Step 5: Solve for x
    x = 206,294,914,809/293,960
  6. Step 6: Final answer
    x = 701,778.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.