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Finding the Third Proportional to 826.31 and 1,280.53

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Solution

The third proportional to 826.31 and 1,280.53 is: 1,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.31 : 1,280.53 = 1,280.53 : x
  2. Step 2: Convert to fraction form
    826.31/1,280.53 = 1,280.53/x
  3. Step 3: Cross multiply
    826.31x = 1,280.53 × 1,280.53
  4. Step 4: Simplify right side
    826.31x = 1,639,760.28
  5. Step 5: Solve for x
    x = 1,639,760.28/826.31
  6. Step 6: Final answer
    x = 1,984.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.