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Finding the Third Proportional to 184,688 and 398,906

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Solution

The third proportional to 184,688 and 398,906 is: 861,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,688 : 398,906 = 398,906 : x
  2. Step 2: Convert to fraction form
    184,688/398,906 = 398,906/x
  3. Step 3: Cross multiply
    184,688x = 398,906 × 398,906
  4. Step 4: Simplify right side
    184,688x = 159,125,996,836
  5. Step 5: Solve for x
    x = 159,125,996,836/184,688
  6. Step 6: Final answer
    x = 861,593.59

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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.