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Finding the Third Proportional to 696.16 and 1,040.73

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Solution

The third proportional to 696.16 and 1,040.73 is: 1,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.16 : 1,040.73 = 1,040.73 : x
  2. Step 2: Convert to fraction form
    696.16/1,040.73 = 1,040.73/x
  3. Step 3: Cross multiply
    696.16x = 1,040.73 × 1,040.73
  4. Step 4: Simplify right side
    696.16x = 1,083,117.62
  5. Step 5: Solve for x
    x = 1,083,117.62/696.16
  6. Step 6: Final answer
    x = 1,555.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.