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Finding the Third Proportional to 733.41 and 1,096.41

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Solution

The third proportional to 733.41 and 1,096.41 is: 1,639.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.41 : 1,096.41 = 1,096.41 : x
  2. Step 2: Convert to fraction form
    733.41/1,096.41 = 1,096.41/x
  3. Step 3: Cross multiply
    733.41x = 1,096.41 × 1,096.41
  4. Step 4: Simplify right side
    733.41x = 1,202,106.67
  5. Step 5: Solve for x
    x = 1,202,106.67/733.41
  6. Step 6: Final answer
    x = 1,639.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.