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Finding the Third Proportional to 512.16 and 650.53

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Solution

The third proportional to 512.16 and 650.53 is: 826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 650.53 = 650.53 : x
  2. Step 2: Convert to fraction form
    512.16/650.53 = 650.53/x
  3. Step 3: Cross multiply
    512.16x = 650.53 × 650.53
  4. Step 4: Simplify right side
    512.16x = 423,190.91
  5. Step 5: Solve for x
    x = 423,190.91/512.16
  6. Step 6: Final answer
    x = 826.29

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1.5x scale

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.