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Finding the Third Proportional to 281,742.75 and 422,615.25

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Solution

The third proportional to 281,742.75 and 422,615.25 is: 633,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,742.75 : 422,615.25 = 422,615.25 : x
  2. Step 2: Convert to fraction form
    281,742.75/422,615.25 = 422,615.25/x
  3. Step 3: Cross multiply
    281,742.75x = 422,615.25 × 422,615.25
  4. Step 4: Simplify right side
    281,742.75x = 178,603,649,532.56
  5. Step 5: Solve for x
    x = 178,603,649,532.56/281,742.75
  6. Step 6: Final answer
    x = 633,924.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.