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Finding the Third Proportional to 209,236 and 453,896

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Solution

The third proportional to 209,236 and 453,896 is: 984,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,236 : 453,896 = 453,896 : x
  2. Step 2: Convert to fraction form
    209,236/453,896 = 453,896/x
  3. Step 3: Cross multiply
    209,236x = 453,896 × 453,896
  4. Step 4: Simplify right side
    209,236x = 206,021,578,816
  5. Step 5: Solve for x
    x = 206,021,578,816/209,236
  6. Step 6: Final answer
    x = 984,637.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.