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Finding the Third Proportional to 742.36 and 1,622.60

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Solution

The third proportional to 742.36 and 1,622.60 is: 3,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.36 : 1,622.60 = 1,622.60 : x
  2. Step 2: Convert to fraction form
    742.36/1,622.60 = 1,622.60/x
  3. Step 3: Cross multiply
    742.36x = 1,622.60 × 1,622.60
  4. Step 4: Simplify right side
    742.36x = 2,632,835.83
  5. Step 5: Solve for x
    x = 2,632,835.83/742.36
  6. Step 6: Final answer
    x = 3,546.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.