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Finding the Third Proportional to 700.21 and 981.33

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Solution

The third proportional to 700.21 and 981.33 is: 1,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.21 : 981.33 = 981.33 : x
  2. Step 2: Convert to fraction form
    700.21/981.33 = 981.33/x
  3. Step 3: Cross multiply
    700.21x = 981.33 × 981.33
  4. Step 4: Simplify right side
    700.21x = 963,016.39
  5. Step 5: Solve for x
    x = 963,016.39/700.21
  6. Step 6: Final answer
    x = 1,375.33

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.