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Finding the Third Proportional to 398,183 and 866,351

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Solution

The third proportional to 398,183 and 866,351 is: 1,884,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,183 : 866,351 = 866,351 : x
  2. Step 2: Convert to fraction form
    398,183/866,351 = 866,351/x
  3. Step 3: Cross multiply
    398,183x = 866,351 × 866,351
  4. Step 4: Simplify right side
    398,183x = 750,564,055,201
  5. Step 5: Solve for x
    x = 750,564,055,201/398,183
  6. Step 6: Final answer
    x = 1,884,972.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.