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Finding the Third Proportional to 184,863 and 398,562

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Solution

The third proportional to 184,863 and 398,562 is: 859,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,863 : 398,562 = 398,562 : x
  2. Step 2: Convert to fraction form
    184,863/398,562 = 398,562/x
  3. Step 3: Cross multiply
    184,863x = 398,562 × 398,562
  4. Step 4: Simplify right side
    184,863x = 158,851,667,844
  5. Step 5: Solve for x
    x = 158,851,667,844/184,863
  6. Step 6: Final answer
    x = 859,294.01

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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.