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Finding the Third Proportional to 362.63 and 542.38

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Solution

The third proportional to 362.63 and 542.38 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 542.38 = 542.38 : x
  2. Step 2: Convert to fraction form
    362.63/542.38 = 542.38/x
  3. Step 3: Cross multiply
    362.63x = 542.38 × 542.38
  4. Step 4: Simplify right side
    362.63x = 294,170.64
  5. Step 5: Solve for x
    x = 294,170.64/362.63
  6. Step 6: Final answer
    x = 811.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.