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Finding the Third Proportional to 210,086 and 449,704

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Solution

The third proportional to 210,086 and 449,704 is: 962,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,086 : 449,704 = 449,704 : x
  2. Step 2: Convert to fraction form
    210,086/449,704 = 449,704/x
  3. Step 3: Cross multiply
    210,086x = 449,704 × 449,704
  4. Step 4: Simplify right side
    210,086x = 202,233,687,616
  5. Step 5: Solve for x
    x = 202,233,687,616/210,086
  6. Step 6: Final answer
    x = 962,623.34

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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.