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Finding the Third Proportional to 186,996 and 400,782

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Solution

The third proportional to 186,996 and 400,782 is: 858,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,996 : 400,782 = 400,782 : x
  2. Step 2: Convert to fraction form
    186,996/400,782 = 400,782/x
  3. Step 3: Cross multiply
    186,996x = 400,782 × 400,782
  4. Step 4: Simplify right side
    186,996x = 160,626,211,524
  5. Step 5: Solve for x
    x = 160,626,211,524/186,996
  6. Step 6: Final answer
    x = 858,982.07

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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.