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Finding the Third Proportional to 184,685 and 398,530

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Solution

The third proportional to 184,685 and 398,530 is: 859,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,685 : 398,530 = 398,530 : x
  2. Step 2: Convert to fraction form
    184,685/398,530 = 398,530/x
  3. Step 3: Cross multiply
    184,685x = 398,530 × 398,530
  4. Step 4: Simplify right side
    184,685x = 158,826,160,900
  5. Step 5: Solve for x
    x = 158,826,160,900/184,685
  6. Step 6: Final answer
    x = 859,984.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.