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Finding the Third Proportional to 362.63 and 583.83

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Solution

The third proportional to 362.63 and 583.83 is: 939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 583.83 = 583.83 : x
  2. Step 2: Convert to fraction form
    362.63/583.83 = 583.83/x
  3. Step 3: Cross multiply
    362.63x = 583.83 × 583.83
  4. Step 4: Simplify right side
    362.63x = 340,855.28
  5. Step 5: Solve for x
    x = 340,855.28/362.63
  6. Step 6: Final answer
    x = 939.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.