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Finding the Third Proportional to 383.91 and 519.05

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Solution

The third proportional to 383.91 and 519.05 is: 701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.91 : 519.05 = 519.05 : x
  2. Step 2: Convert to fraction form
    383.91/519.05 = 519.05/x
  3. Step 3: Cross multiply
    383.91x = 519.05 × 519.05
  4. Step 4: Simplify right side
    383.91x = 269,409.66
  5. Step 5: Solve for x
    x = 269,409.66/383.91
  6. Step 6: Final answer
    x = 701.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.