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Finding the Third Proportional to 293.94 and 625.69

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Solution

The third proportional to 293.94 and 625.69 is: 1,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 625.69 = 625.69 : x
  2. Step 2: Convert to fraction form
    293.94/625.69 = 625.69/x
  3. Step 3: Cross multiply
    293.94x = 625.69 × 625.69
  4. Step 4: Simplify right side
    293.94x = 391,492.18
  5. Step 5: Solve for x
    x = 391,492.18/293.94
  6. Step 6: Final answer
    x = 1,331.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.