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Finding the Third Proportional to 193,609 and 416,883

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Solution

The third proportional to 193,609 and 416,883 is: 897,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,609 : 416,883 = 416,883 : x
  2. Step 2: Convert to fraction form
    193,609/416,883 = 416,883/x
  3. Step 3: Cross multiply
    193,609x = 416,883 × 416,883
  4. Step 4: Simplify right side
    193,609x = 173,791,435,689
  5. Step 5: Solve for x
    x = 173,791,435,689/193,609
  6. Step 6: Final answer
    x = 897,641.31

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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.