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Finding the Third Proportional to 198,609 and 468,444

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Solution

The third proportional to 198,609 and 468,444 is: 1,104,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,609 : 468,444 = 468,444 : x
  2. Step 2: Convert to fraction form
    198,609/468,444 = 468,444/x
  3. Step 3: Cross multiply
    198,609x = 468,444 × 468,444
  4. Step 4: Simplify right side
    198,609x = 219,439,781,136
  5. Step 5: Solve for x
    x = 219,439,781,136/198,609
  6. Step 6: Final answer
    x = 1,104,883.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.