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Finding the Third Proportional to 696.25 and 1,101.69

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Solution

The third proportional to 696.25 and 1,101.69 is: 1,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.25 : 1,101.69 = 1,101.69 : x
  2. Step 2: Convert to fraction form
    696.25/1,101.69 = 1,101.69/x
  3. Step 3: Cross multiply
    696.25x = 1,101.69 × 1,101.69
  4. Step 4: Simplify right side
    696.25x = 1,213,715.35
  5. Step 5: Solve for x
    x = 1,213,715.35/696.25
  6. Step 6: Final answer
    x = 1,743.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.