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Finding the Third Proportional to 622.05 and 884.04

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Solution

The third proportional to 622.05 and 884.04 is: 1,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.05 : 884.04 = 884.04 : x
  2. Step 2: Convert to fraction form
    622.05/884.04 = 884.04/x
  3. Step 3: Cross multiply
    622.05x = 884.04 × 884.04
  4. Step 4: Simplify right side
    622.05x = 781,525.06
  5. Step 5: Solve for x
    x = 781,525.06/622.05
  6. Step 6: Final answer
    x = 1,256.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.