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Finding the Third Proportional to 780.26 and 1,696.57

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Solution

The third proportional to 780.26 and 1,696.57 is: 3,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,696.57 = 1,696.57 : x
  2. Step 2: Convert to fraction form
    780.26/1,696.57 = 1,696.57/x
  3. Step 3: Cross multiply
    780.26x = 1,696.57 × 1,696.57
  4. Step 4: Simplify right side
    780.26x = 2,878,350.83
  5. Step 5: Solve for x
    x = 2,878,350.83/780.26
  6. Step 6: Final answer
    x = 3,688.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.