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Finding the Third Proportional to 184,991 and 398,779

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Solution

The third proportional to 184,991 and 398,779 is: 859,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,991 : 398,779 = 398,779 : x
  2. Step 2: Convert to fraction form
    184,991/398,779 = 398,779/x
  3. Step 3: Cross multiply
    184,991x = 398,779 × 398,779
  4. Step 4: Simplify right side
    184,991x = 159,024,690,841
  5. Step 5: Solve for x
    x = 159,024,690,841/184,991
  6. Step 6: Final answer
    x = 859,634.74

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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.