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Finding the Third Proportional to 379.31 and 486.19

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Solution

The third proportional to 379.31 and 486.19 is: 623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.31 : 486.19 = 486.19 : x
  2. Step 2: Convert to fraction form
    379.31/486.19 = 486.19/x
  3. Step 3: Cross multiply
    379.31x = 486.19 × 486.19
  4. Step 4: Simplify right side
    379.31x = 236,378.29
  5. Step 5: Solve for x
    x = 236,378.29/379.31
  6. Step 6: Final answer
    x = 623.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.