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Finding the Third Proportional to 620.06 and 1,300.69

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Solution

The third proportional to 620.06 and 1,300.69 is: 2,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.06 : 1,300.69 = 1,300.69 : x
  2. Step 2: Convert to fraction form
    620.06/1,300.69 = 1,300.69/x
  3. Step 3: Cross multiply
    620.06x = 1,300.69 × 1,300.69
  4. Step 4: Simplify right side
    620.06x = 1,691,787.97
  5. Step 5: Solve for x
    x = 1,691,787.97/620.06
  6. Step 6: Final answer
    x = 2,728.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.