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Finding the Third Proportional to 184,264 and 399,629

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Solution

The third proportional to 184,264 and 399,629 is: 866,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,264 : 399,629 = 399,629 : x
  2. Step 2: Convert to fraction form
    184,264/399,629 = 399,629/x
  3. Step 3: Cross multiply
    184,264x = 399,629 × 399,629
  4. Step 4: Simplify right side
    184,264x = 159,703,337,641
  5. Step 5: Solve for x
    x = 159,703,337,641/184,264
  6. Step 6: Final answer
    x = 866,709.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.