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Finding the Third Proportional to 780.26 and 1,709.54

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Solution

The third proportional to 780.26 and 1,709.54 is: 3,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,709.54 = 1,709.54 : x
  2. Step 2: Convert to fraction form
    780.26/1,709.54 = 1,709.54/x
  3. Step 3: Cross multiply
    780.26x = 1,709.54 × 1,709.54
  4. Step 4: Simplify right side
    780.26x = 2,922,537.16
  5. Step 5: Solve for x
    x = 2,922,537.16/780.26
  6. Step 6: Final answer
    x = 3,745.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.