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Finding the Third Proportional to 193,607 and 416,879

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Solution

The third proportional to 193,607 and 416,879 is: 897,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,607 : 416,879 = 416,879 : x
  2. Step 2: Convert to fraction form
    193,607/416,879 = 416,879/x
  3. Step 3: Cross multiply
    193,607x = 416,879 × 416,879
  4. Step 4: Simplify right side
    193,607x = 173,788,100,641
  5. Step 5: Solve for x
    x = 173,788,100,641/193,607
  6. Step 6: Final answer
    x = 897,633.35

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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.