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Finding the Third Proportional to 322,548.75 and 451,138.50

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Solution

The third proportional to 322,548.75 and 451,138.50 is: 630,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,548.75 : 451,138.50 = 451,138.50 : x
  2. Step 2: Convert to fraction form
    322,548.75/451,138.50 = 451,138.50/x
  3. Step 3: Cross multiply
    322,548.75x = 451,138.50 × 451,138.50
  4. Step 4: Simplify right side
    322,548.75x = 203,525,946,182.25
  5. Step 5: Solve for x
    x = 203,525,946,182.25/322,548.75
  6. Step 6: Final answer
    x = 630,992.82

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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.