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Finding the Third Proportional to 689.77 and 1,512.42

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Solution

The third proportional to 689.77 and 1,512.42 is: 3,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,512.42 = 1,512.42 : x
  2. Step 2: Convert to fraction form
    689.77/1,512.42 = 1,512.42/x
  3. Step 3: Cross multiply
    689.77x = 1,512.42 × 1,512.42
  4. Step 4: Simplify right side
    689.77x = 2,287,419.93
  5. Step 5: Solve for x
    x = 2,287,419.93/689.77
  6. Step 6: Final answer
    x = 3,316.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.