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Finding the Third Proportional to 587,958.75 and 1,288,016.44

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Solution

The third proportional to 587,958.75 and 1,288,016.44 is: 2,821,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,958.75 : 1,288,016.44 = 1,288,016.44 : x
  2. Step 2: Convert to fraction form
    587,958.75/1,288,016.44 = 1,288,016.44/x
  3. Step 3: Cross multiply
    587,958.75x = 1,288,016.44 × 1,288,016.44
  4. Step 4: Simplify right side
    587,958.75x = 1,658,986,343,270.19
  5. Step 5: Solve for x
    x = 1,658,986,343,270.19/587,958.75
  6. Step 6: Final answer
    x = 2,821,603.29

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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.