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Finding the Third Proportional to 300,556 and 449,892

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Solution

The third proportional to 300,556 and 449,892 is: 673,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,556 : 449,892 = 449,892 : x
  2. Step 2: Convert to fraction form
    300,556/449,892 = 449,892/x
  3. Step 3: Cross multiply
    300,556x = 449,892 × 449,892
  4. Step 4: Simplify right side
    300,556x = 202,402,811,664
  5. Step 5: Solve for x
    x = 202,402,811,664/300,556
  6. Step 6: Final answer
    x = 673,427.95

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