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Finding the Third Proportional to 362.39 and 546.33

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Solution

The third proportional to 362.39 and 546.33 is: 823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.39 : 546.33 = 546.33 : x
  2. Step 2: Convert to fraction form
    362.39/546.33 = 546.33/x
  3. Step 3: Cross multiply
    362.39x = 546.33 × 546.33
  4. Step 4: Simplify right side
    362.39x = 298,474.42
  5. Step 5: Solve for x
    x = 298,474.42/362.39
  6. Step 6: Final answer
    x = 823.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.