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Finding the Third Proportional to 210,962 and 454,912

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Solution

The third proportional to 210,962 and 454,912 is: 980,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,962 : 454,912 = 454,912 : x
  2. Step 2: Convert to fraction form
    210,962/454,912 = 454,912/x
  3. Step 3: Cross multiply
    210,962x = 454,912 × 454,912
  4. Step 4: Simplify right side
    210,962x = 206,944,927,744
  5. Step 5: Solve for x
    x = 206,944,927,744/210,962
  6. Step 6: Final answer
    x = 980,958.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.