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Finding the Third Proportional to 696.61 and 1,020.17

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Solution

The third proportional to 696.61 and 1,020.17 is: 1,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.61 : 1,020.17 = 1,020.17 : x
  2. Step 2: Convert to fraction form
    696.61/1,020.17 = 1,020.17/x
  3. Step 3: Cross multiply
    696.61x = 1,020.17 × 1,020.17
  4. Step 4: Simplify right side
    696.61x = 1,040,752.65
  5. Step 5: Solve for x
    x = 1,040,752.65/696.61
  6. Step 6: Final answer
    x = 1,494.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.