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Finding the Third Proportional to 401,711 and 836,714

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Solution

The third proportional to 401,711 and 836,714 is: 1,742,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,711 : 836,714 = 836,714 : x
  2. Step 2: Convert to fraction form
    401,711/836,714 = 836,714/x
  3. Step 3: Cross multiply
    401,711x = 836,714 × 836,714
  4. Step 4: Simplify right side
    401,711x = 700,090,317,796
  5. Step 5: Solve for x
    x = 700,090,317,796/401,711
  6. Step 6: Final answer
    x = 1,742,771.09

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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.