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Finding the Third Proportional to 209,696 and 452,608

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Solution

The third proportional to 209,696 and 452,608 is: 976,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696 : 452,608 = 452,608 : x
  2. Step 2: Convert to fraction form
    209,696/452,608 = 452,608/x
  3. Step 3: Cross multiply
    209,696x = 452,608 × 452,608
  4. Step 4: Simplify right side
    209,696x = 204,854,001,664
  5. Step 5: Solve for x
    x = 204,854,001,664/209,696
  6. Step 6: Final answer
    x = 976,909.44

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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.