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Finding the Third Proportional to 676.69 and 1,414.13

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Solution

The third proportional to 676.69 and 1,414.13 is: 2,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.69 : 1,414.13 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    676.69/1,414.13 = 1,414.13/x
  3. Step 3: Cross multiply
    676.69x = 1,414.13 × 1,414.13
  4. Step 4: Simplify right side
    676.69x = 1,999,749.52
  5. Step 5: Solve for x
    x = 1,999,749.52/676.69
  6. Step 6: Final answer
    x = 2,955.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.