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Finding the Third Proportional to 322.31 and 696.94

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Solution

The third proportional to 322.31 and 696.94 is: 1,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 696.94 = 696.94 : x
  2. Step 2: Convert to fraction form
    322.31/696.94 = 696.94/x
  3. Step 3: Cross multiply
    322.31x = 696.94 × 696.94
  4. Step 4: Simplify right side
    322.31x = 485,721.88
  5. Step 5: Solve for x
    x = 485,721.88/322.31
  6. Step 6: Final answer
    x = 1,506.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.