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Finding the Third Proportional to 734.70 and 1,622.21

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Solution

The third proportional to 734.70 and 1,622.21 is: 3,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,622.21 = 1,622.21 : x
  2. Step 2: Convert to fraction form
    734.70/1,622.21 = 1,622.21/x
  3. Step 3: Cross multiply
    734.70x = 1,622.21 × 1,622.21
  4. Step 4: Simplify right side
    734.70x = 2,631,581.00
  5. Step 5: Solve for x
    x = 2,631,581.00/734.70
  6. Step 6: Final answer
    x = 3,581.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.