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Finding the Third Proportional to 828.56 and 1,161.47

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Solution

The third proportional to 828.56 and 1,161.47 is: 1,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 1,161.47 = 1,161.47 : x
  2. Step 2: Convert to fraction form
    828.56/1,161.47 = 1,161.47/x
  3. Step 3: Cross multiply
    828.56x = 1,161.47 × 1,161.47
  4. Step 4: Simplify right side
    828.56x = 1,349,009.66
  5. Step 5: Solve for x
    x = 1,349,009.66/828.56
  6. Step 6: Final answer
    x = 1,628.13

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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.