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Finding the Third Proportional to 210,144 and 449,811

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Solution

The third proportional to 210,144 and 449,811 is: 962,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,144 : 449,811 = 449,811 : x
  2. Step 2: Convert to fraction form
    210,144/449,811 = 449,811/x
  3. Step 3: Cross multiply
    210,144x = 449,811 × 449,811
  4. Step 4: Simplify right side
    210,144x = 202,329,935,721
  5. Step 5: Solve for x
    x = 202,329,935,721/210,144
  6. Step 6: Final answer
    x = 962,815.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.