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Finding the Third Proportional to 184,627 and 434,683

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Solution

The third proportional to 184,627 and 434,683 is: 1,023,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,627 : 434,683 = 434,683 : x
  2. Step 2: Convert to fraction form
    184,627/434,683 = 434,683/x
  3. Step 3: Cross multiply
    184,627x = 434,683 × 434,683
  4. Step 4: Simplify right side
    184,627x = 188,949,310,489
  5. Step 5: Solve for x
    x = 188,949,310,489/184,627
  6. Step 6: Final answer
    x = 1,023,411.04

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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.