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Finding the Third Proportional to 694.50 and 976.88

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Solution

The third proportional to 694.50 and 976.88 is: 1,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.50 : 976.88 = 976.88 : x
  2. Step 2: Convert to fraction form
    694.50/976.88 = 976.88/x
  3. Step 3: Cross multiply
    694.50x = 976.88 × 976.88
  4. Step 4: Simplify right side
    694.50x = 954,284.77
  5. Step 5: Solve for x
    x = 954,284.77/694.50
  6. Step 6: Final answer
    x = 1,374.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.