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Finding the Third Proportional to 733.71 and 1,631.46

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Solution

The third proportional to 733.71 and 1,631.46 is: 3,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.71 : 1,631.46 = 1,631.46 : x
  2. Step 2: Convert to fraction form
    733.71/1,631.46 = 1,631.46/x
  3. Step 3: Cross multiply
    733.71x = 1,631.46 × 1,631.46
  4. Step 4: Simplify right side
    733.71x = 2,661,664.79
  5. Step 5: Solve for x
    x = 2,661,664.79/733.71
  6. Step 6: Final answer
    x = 3,627.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.