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Finding the Third Proportional to 828.94 and 1,162.03

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Solution

The third proportional to 828.94 and 1,162.03 is: 1,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.94 : 1,162.03 = 1,162.03 : x
  2. Step 2: Convert to fraction form
    828.94/1,162.03 = 1,162.03/x
  3. Step 3: Cross multiply
    828.94x = 1,162.03 × 1,162.03
  4. Step 4: Simplify right side
    828.94x = 1,350,316.63
  5. Step 5: Solve for x
    x = 1,350,316.63/828.94
  6. Step 6: Final answer
    x = 1,628.97

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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.