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Finding the Third Proportional to 535.78 and 829.41

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Solution

The third proportional to 535.78 and 829.41 is: 1,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.78 : 829.41 = 829.41 : x
  2. Step 2: Convert to fraction form
    535.78/829.41 = 829.41/x
  3. Step 3: Cross multiply
    535.78x = 829.41 × 829.41
  4. Step 4: Simplify right side
    535.78x = 687,914.73
  5. Step 5: Solve for x
    x = 687,914.73/535.78
  6. Step 6: Final answer
    x = 1,283.95

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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.