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Finding the Third Proportional to 397.83 and 578.81

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Solution

The third proportional to 397.83 and 578.81 is: 842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 578.81 = 578.81 : x
  2. Step 2: Convert to fraction form
    397.83/578.81 = 578.81/x
  3. Step 3: Cross multiply
    397.83x = 578.81 × 578.81
  4. Step 4: Simplify right side
    397.83x = 335,023.91
  5. Step 5: Solve for x
    x = 335,023.91/397.83
  6. Step 6: Final answer
    x = 842.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.