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Finding the Third Proportional to 512.16 and 1,202.34

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Solution

The third proportional to 512.16 and 1,202.34 is: 2,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.16 : 1,202.34 = 1,202.34 : x
  2. Step 2: Convert to fraction form
    512.16/1,202.34 = 1,202.34/x
  3. Step 3: Cross multiply
    512.16x = 1,202.34 × 1,202.34
  4. Step 4: Simplify right side
    512.16x = 1,445,630.49
  5. Step 5: Solve for x
    x = 1,445,630.49/512.16
  6. Step 6: Final answer
    x = 2,822.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.