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Finding the Third Proportional to 662.16 and 1,428.41

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Solution

The third proportional to 662.16 and 1,428.41 is: 3,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 1,428.41 = 1,428.41 : x
  2. Step 2: Convert to fraction form
    662.16/1,428.41 = 1,428.41/x
  3. Step 3: Cross multiply
    662.16x = 1,428.41 × 1,428.41
  4. Step 4: Simplify right side
    662.16x = 2,040,344.42
  5. Step 5: Solve for x
    x = 2,040,344.42/662.16
  6. Step 6: Final answer
    x = 3,081.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.