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Finding the Third Proportional to 401,949.75 and 836,976.38

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Solution

The third proportional to 401,949.75 and 836,976.38 is: 1,742,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,949.75 : 836,976.38 = 836,976.38 : x
  2. Step 2: Convert to fraction form
    401,949.75/836,976.38 = 836,976.38/x
  3. Step 3: Cross multiply
    401,949.75x = 836,976.38 × 836,976.38
  4. Step 4: Simplify right side
    401,949.75x = 700,529,452,308.14
  5. Step 5: Solve for x
    x = 700,529,452,308.14/401,949.75
  6. Step 6: Final answer
    x = 1,742,828.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.