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Finding the Third Proportional to 362.63 and 579.94

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Solution

The third proportional to 362.63 and 579.94 is: 927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.63 : 579.94 = 579.94 : x
  2. Step 2: Convert to fraction form
    362.63/579.94 = 579.94/x
  3. Step 3: Cross multiply
    362.63x = 579.94 × 579.94
  4. Step 4: Simplify right side
    362.63x = 336,327.50
  5. Step 5: Solve for x
    x = 336,327.50/362.63
  6. Step 6: Final answer
    x = 927.48

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.