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Finding the Third Proportional to 696.09 and 1,374.47

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Solution

The third proportional to 696.09 and 1,374.47 is: 2,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.09 : 1,374.47 = 1,374.47 : x
  2. Step 2: Convert to fraction form
    696.09/1,374.47 = 1,374.47/x
  3. Step 3: Cross multiply
    696.09x = 1,374.47 × 1,374.47
  4. Step 4: Simplify right side
    696.09x = 1,889,164.34
  5. Step 5: Solve for x
    x = 1,889,164.34/696.09
  6. Step 6: Final answer
    x = 2,713.95

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.