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Finding the Third Proportional to 383.06 and 513.56

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Solution

The third proportional to 383.06 and 513.56 is: 688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 513.56 = 513.56 : x
  2. Step 2: Convert to fraction form
    383.06/513.56 = 513.56/x
  3. Step 3: Cross multiply
    383.06x = 513.56 × 513.56
  4. Step 4: Simplify right side
    383.06x = 263,746.44
  5. Step 5: Solve for x
    x = 263,746.44/383.06
  6. Step 6: Final answer
    x = 688.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.