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Finding the Third Proportional to 397.88 and 852.94

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Solution

The third proportional to 397.88 and 852.94 is: 1,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.88 : 852.94 = 852.94 : x
  2. Step 2: Convert to fraction form
    397.88/852.94 = 852.94/x
  3. Step 3: Cross multiply
    397.88x = 852.94 × 852.94
  4. Step 4: Simplify right side
    397.88x = 727,502.38
  5. Step 5: Solve for x
    x = 727,502.38/397.88
  6. Step 6: Final answer
    x = 1,828.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.