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Finding the Third Proportional to 186,397 and 398,916

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Solution

The third proportional to 186,397 and 398,916 is: 853,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,397 : 398,916 = 398,916 : x
  2. Step 2: Convert to fraction form
    186,397/398,916 = 398,916/x
  3. Step 3: Cross multiply
    186,397x = 398,916 × 398,916
  4. Step 4: Simplify right side
    186,397x = 159,133,975,056
  5. Step 5: Solve for x
    x = 159,133,975,056/186,397
  6. Step 6: Final answer
    x = 853,736.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.