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Finding the Third Proportional to 828.38 and 1,161.09

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Solution

The third proportional to 828.38 and 1,161.09 is: 1,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.38 : 1,161.09 = 1,161.09 : x
  2. Step 2: Convert to fraction form
    828.38/1,161.09 = 1,161.09/x
  3. Step 3: Cross multiply
    828.38x = 1,161.09 × 1,161.09
  4. Step 4: Simplify right side
    828.38x = 1,348,138.70
  5. Step 5: Solve for x
    x = 1,348,138.70/828.38
  6. Step 6: Final answer
    x = 1,627.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.