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Finding the Third Proportional to 673.88 and 967.69

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Solution

The third proportional to 673.88 and 967.69 is: 1,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.88 : 967.69 = 967.69 : x
  2. Step 2: Convert to fraction form
    673.88/967.69 = 967.69/x
  3. Step 3: Cross multiply
    673.88x = 967.69 × 967.69
  4. Step 4: Simplify right side
    673.88x = 936,419.10
  5. Step 5: Solve for x
    x = 936,419.10/673.88
  6. Step 6: Final answer
    x = 1,389.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.