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Finding the Third Proportional to 679.64 and 1,450.41

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Solution

The third proportional to 679.64 and 1,450.41 is: 3,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.64 : 1,450.41 = 1,450.41 : x
  2. Step 2: Convert to fraction form
    679.64/1,450.41 = 1,450.41/x
  3. Step 3: Cross multiply
    679.64x = 1,450.41 × 1,450.41
  4. Step 4: Simplify right side
    679.64x = 2,103,678.29
  5. Step 5: Solve for x
    x = 2,103,678.29/679.64
  6. Step 6: Final answer
    x = 3,095.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.