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Finding the Third Proportional to 401,944.78 and 836,967.94

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Solution

The third proportional to 401,944.78 and 836,967.94 is: 1,742,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,944.78 : 836,967.94 = 836,967.94 : x
  2. Step 2: Convert to fraction form
    401,944.78/836,967.94 = 836,967.94/x
  3. Step 3: Cross multiply
    401,944.78x = 836,967.94 × 836,967.94
  4. Step 4: Simplify right side
    401,944.78x = 700,515,328,403.00
  5. Step 5: Solve for x
    x = 700,515,328,403.00/401,944.78
  6. Step 6: Final answer
    x = 1,742,814.84

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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.