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Finding the Third Proportional to 963.84 and 1,408.22

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Solution

The third proportional to 963.84 and 1,408.22 is: 2,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.84 : 1,408.22 = 1,408.22 : x
  2. Step 2: Convert to fraction form
    963.84/1,408.22 = 1,408.22/x
  3. Step 3: Cross multiply
    963.84x = 1,408.22 × 1,408.22
  4. Step 4: Simplify right side
    963.84x = 1,983,080.05
  5. Step 5: Solve for x
    x = 1,983,080.05/963.84
  6. Step 6: Final answer
    x = 2,057.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.