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Finding the Third Proportional to 411.96 and 585.67

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Solution

The third proportional to 411.96 and 585.67 is: 832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.96 : 585.67 = 585.67 : x
  2. Step 2: Convert to fraction form
    411.96/585.67 = 585.67/x
  3. Step 3: Cross multiply
    411.96x = 585.67 × 585.67
  4. Step 4: Simplify right side
    411.96x = 343,006.97
  5. Step 5: Solve for x
    x = 343,006.97/411.96
  6. Step 6: Final answer
    x = 832.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.