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Finding the Third Proportional to 419.81 and 673.88

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Solution

The third proportional to 419.81 and 673.88 is: 1,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.81 : 673.88 = 673.88 : x
  2. Step 2: Convert to fraction form
    419.81/673.88 = 673.88/x
  3. Step 3: Cross multiply
    419.81x = 673.88 × 673.88
  4. Step 4: Simplify right side
    419.81x = 454,107.52
  5. Step 5: Solve for x
    x = 454,107.52/419.81
  6. Step 6: Final answer
    x = 1,081.69

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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.