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Finding the Third Proportional to 186,686 and 409,662

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Solution

The third proportional to 186,686 and 409,662 is: 898,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,686 : 409,662 = 409,662 : x
  2. Step 2: Convert to fraction form
    186,686/409,662 = 409,662/x
  3. Step 3: Cross multiply
    186,686x = 409,662 × 409,662
  4. Step 4: Simplify right side
    186,686x = 167,822,954,244
  5. Step 5: Solve for x
    x = 167,822,954,244/186,686
  6. Step 6: Final answer
    x = 898,958.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.