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Finding the Third Proportional to 512.58 and 1,110.59

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Solution

The third proportional to 512.58 and 1,110.59 is: 2,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 1,110.59 = 1,110.59 : x
  2. Step 2: Convert to fraction form
    512.58/1,110.59 = 1,110.59/x
  3. Step 3: Cross multiply
    512.58x = 1,110.59 × 1,110.59
  4. Step 4: Simplify right side
    512.58x = 1,233,401.12
  5. Step 5: Solve for x
    x = 1,233,401.12/512.58
  6. Step 6: Final answer
    x = 2,406.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.