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Finding the Third Proportional to 419.63 and 676.69

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Solution

The third proportional to 419.63 and 676.69 is: 1,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 676.69 = 676.69 : x
  2. Step 2: Convert to fraction form
    419.63/676.69 = 676.69/x
  3. Step 3: Cross multiply
    419.63x = 676.69 × 676.69
  4. Step 4: Simplify right side
    419.63x = 457,905.97
  5. Step 5: Solve for x
    x = 457,905.97/419.63
  6. Step 6: Final answer
    x = 1,091.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.