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Finding the Third Proportional to 401,958 and 836,992

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Solution

The third proportional to 401,958 and 836,992 is: 1,742,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,958 : 836,992 = 836,992 : x
  2. Step 2: Convert to fraction form
    401,958/836,992 = 836,992/x
  3. Step 3: Cross multiply
    401,958x = 836,992 × 836,992
  4. Step 4: Simplify right side
    401,958x = 700,555,608,064
  5. Step 5: Solve for x
    x = 700,555,608,064/401,958
  6. Step 6: Final answer
    x = 1,742,857.73

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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.