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Finding the Third Proportional to 832.78 and 1,226.39

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Solution

The third proportional to 832.78 and 1,226.39 is: 1,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.78 : 1,226.39 = 1,226.39 : x
  2. Step 2: Convert to fraction form
    832.78/1,226.39 = 1,226.39/x
  3. Step 3: Cross multiply
    832.78x = 1,226.39 × 1,226.39
  4. Step 4: Simplify right side
    832.78x = 1,504,033.97
  5. Step 5: Solve for x
    x = 1,504,033.97/832.78
  6. Step 6: Final answer
    x = 1,806.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.