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Finding the Third Proportional to 392.34 and 852.82

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Solution

The third proportional to 392.34 and 852.82 is: 1,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 852.82 = 852.82 : x
  2. Step 2: Convert to fraction form
    392.34/852.82 = 852.82/x
  3. Step 3: Cross multiply
    392.34x = 852.82 × 852.82
  4. Step 4: Simplify right side
    392.34x = 727,302.49
  5. Step 5: Solve for x
    x = 727,302.49/392.34
  6. Step 6: Final answer
    x = 1,853.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.