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Finding the Third Proportional to 622.53 and 871.70

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Solution

The third proportional to 622.53 and 871.70 is: 1,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.53 : 871.70 = 871.70 : x
  2. Step 2: Convert to fraction form
    622.53/871.70 = 871.70/x
  3. Step 3: Cross multiply
    622.53x = 871.70 × 871.70
  4. Step 4: Simplify right side
    622.53x = 759,859.53
  5. Step 5: Solve for x
    x = 759,859.53/622.53
  6. Step 6: Final answer
    x = 1,220.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.