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Finding the Third Proportional to 301,082 and 451,647

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Solution

The third proportional to 301,082 and 451,647 is: 677,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082 : 451,647 = 451,647 : x
  2. Step 2: Convert to fraction form
    301,082/451,647 = 451,647/x
  3. Step 3: Cross multiply
    301,082x = 451,647 × 451,647
  4. Step 4: Simplify right side
    301,082x = 203,985,012,609
  5. Step 5: Solve for x
    x = 203,985,012,609/301,082
  6. Step 6: Final answer
    x = 677,506.50

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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.