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Finding the Third Proportional to 963.98 and 1,306.34

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Solution

The third proportional to 963.98 and 1,306.34 is: 1,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.98 : 1,306.34 = 1,306.34 : x
  2. Step 2: Convert to fraction form
    963.98/1,306.34 = 1,306.34/x
  3. Step 3: Cross multiply
    963.98x = 1,306.34 × 1,306.34
  4. Step 4: Simplify right side
    963.98x = 1,706,513.58
  5. Step 5: Solve for x
    x = 1,706,513.58/963.98
  6. Step 6: Final answer
    x = 1,770.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.