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Finding the Third Proportional to 193,621 and 416,905

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Solution

The third proportional to 193,621 and 416,905 is: 897,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,621 : 416,905 = 416,905 : x
  2. Step 2: Convert to fraction form
    193,621/416,905 = 416,905/x
  3. Step 3: Cross multiply
    193,621x = 416,905 × 416,905
  4. Step 4: Simplify right side
    193,621x = 173,809,779,025
  5. Step 5: Solve for x
    x = 173,809,779,025/193,621
  6. Step 6: Final answer
    x = 897,680.41

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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.