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Finding the Third Proportional to 210,909 and 453,824

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Solution

The third proportional to 210,909 and 453,824 is: 976,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,909 : 453,824 = 453,824 : x
  2. Step 2: Convert to fraction form
    210,909/453,824 = 453,824/x
  3. Step 3: Cross multiply
    210,909x = 453,824 × 453,824
  4. Step 4: Simplify right side
    210,909x = 205,956,222,976
  5. Step 5: Solve for x
    x = 205,956,222,976/210,909
  6. Step 6: Final answer
    x = 976,517.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.