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Finding the Third Proportional to 703.69 and 1,559.25

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Solution

The third proportional to 703.69 and 1,559.25 is: 3,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 1,559.25 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    703.69/1,559.25 = 1,559.25/x
  3. Step 3: Cross multiply
    703.69x = 1,559.25 × 1,559.25
  4. Step 4: Simplify right side
    703.69x = 2,431,260.56
  5. Step 5: Solve for x
    x = 2,431,260.56/703.69
  6. Step 6: Final answer
    x = 3,455.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.