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Finding the Third Proportional to 322,540.50 and 451,119

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Solution

The third proportional to 322,540.50 and 451,119 is: 630,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,540.50 : 451,119 = 451,119 : x
  2. Step 2: Convert to fraction form
    322,540.50/451,119 = 451,119/x
  3. Step 3: Cross multiply
    322,540.50x = 451,119 × 451,119
  4. Step 4: Simplify right side
    322,540.50x = 203,508,352,161
  5. Step 5: Solve for x
    x = 203,508,352,161/322,540.50
  6. Step 6: Final answer
    x = 630,954.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.