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Finding the Third Proportional to 650.16 and 1,408.31

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Solution

The third proportional to 650.16 and 1,408.31 is: 3,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 1,408.31 = 1,408.31 : x
  2. Step 2: Convert to fraction form
    650.16/1,408.31 = 1,408.31/x
  3. Step 3: Cross multiply
    650.16x = 1,408.31 × 1,408.31
  4. Step 4: Simplify right side
    650.16x = 1,983,344.10
  5. Step 5: Solve for x
    x = 1,983,344.10/650.16
  6. Step 6: Final answer
    x = 3,050.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.