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Finding the Third Proportional to 184,590 and 434,619

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Solution

The third proportional to 184,590 and 434,619 is: 1,023,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,590 : 434,619 = 434,619 : x
  2. Step 2: Convert to fraction form
    184,590/434,619 = 434,619/x
  3. Step 3: Cross multiply
    184,590x = 434,619 × 434,619
  4. Step 4: Simplify right side
    184,590x = 188,893,675,161
  5. Step 5: Solve for x
    x = 188,893,675,161/184,590
  6. Step 6: Final answer
    x = 1,023,314.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.