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Finding the Third Proportional to 466.50 and 513.50

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Solution

The third proportional to 466.50 and 513.50 is: 565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 513.50 = 513.50 : x
  2. Step 2: Convert to fraction form
    466.50/513.50 = 513.50/x
  3. Step 3: Cross multiply
    466.50x = 513.50 × 513.50
  4. Step 4: Simplify right side
    466.50x = 263,682.25
  5. Step 5: Solve for x
    x = 263,682.25/466.50
  6. Step 6: Final answer
    x = 565.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.