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Finding the Third Proportional to 209,497 and 452,194

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Solution

The third proportional to 209,497 and 452,194 is: 976,049.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,497 : 452,194 = 452,194 : x
  2. Step 2: Convert to fraction form
    209,497/452,194 = 452,194/x
  3. Step 3: Cross multiply
    209,497x = 452,194 × 452,194
  4. Step 4: Simplify right side
    209,497x = 204,479,413,636
  5. Step 5: Solve for x
    x = 204,479,413,636/209,497
  6. Step 6: Final answer
    x = 976,049.36

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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.