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Finding the Third Proportional to 184,719 and 398,910

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Solution

The third proportional to 184,719 and 398,910 is: 861,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,719 : 398,910 = 398,910 : x
  2. Step 2: Convert to fraction form
    184,719/398,910 = 398,910/x
  3. Step 3: Cross multiply
    184,719x = 398,910 × 398,910
  4. Step 4: Simplify right side
    184,719x = 159,129,188,100
  5. Step 5: Solve for x
    x = 159,129,188,100/184,719
  6. Step 6: Final answer
    x = 861,466.27

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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.