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Finding the Third Proportional to 321.94 and 700.97

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Solution

The third proportional to 321.94 and 700.97 is: 1,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.94 : 700.97 = 700.97 : x
  2. Step 2: Convert to fraction form
    321.94/700.97 = 700.97/x
  3. Step 3: Cross multiply
    321.94x = 700.97 × 700.97
  4. Step 4: Simplify right side
    321.94x = 491,357.19
  5. Step 5: Solve for x
    x = 491,357.19/321.94
  6. Step 6: Final answer
    x = 1,526.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.