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Finding the Third Proportional to 184,993 and 398,783

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Solution

The third proportional to 184,993 and 398,783 is: 859,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,993 : 398,783 = 398,783 : x
  2. Step 2: Convert to fraction form
    184,993/398,783 = 398,783/x
  3. Step 3: Cross multiply
    184,993x = 398,783 × 398,783
  4. Step 4: Simplify right side
    184,993x = 159,027,881,089
  5. Step 5: Solve for x
    x = 159,027,881,089/184,993
  6. Step 6: Final answer
    x = 859,642.70

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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.