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Finding the Third Proportional to 405.75 and 513.75

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Solution

The third proportional to 405.75 and 513.75 is: 650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.75 : 513.75 = 513.75 : x
  2. Step 2: Convert to fraction form
    405.75/513.75 = 513.75/x
  3. Step 3: Cross multiply
    405.75x = 513.75 × 513.75
  4. Step 4: Simplify right side
    405.75x = 263,939.06
  5. Step 5: Solve for x
    x = 263,939.06/405.75
  6. Step 6: Final answer
    x = 650.50

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.