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Finding the Third Proportional to 694.31 and 1,497.19

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Solution

The third proportional to 694.31 and 1,497.19 is: 3,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 1,497.19 = 1,497.19 : x
  2. Step 2: Convert to fraction form
    694.31/1,497.19 = 1,497.19/x
  3. Step 3: Cross multiply
    694.31x = 1,497.19 × 1,497.19
  4. Step 4: Simplify right side
    694.31x = 2,241,570.41
  5. Step 5: Solve for x
    x = 2,241,570.41/694.31
  6. Step 6: Final answer
    x = 3,228.47

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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.