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Finding the Third Proportional to 211,039 and 462,100

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Solution

The third proportional to 211,039 and 462,100 is: 1,011,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,039 : 462,100 = 462,100 : x
  2. Step 2: Convert to fraction form
    211,039/462,100 = 462,100/x
  3. Step 3: Cross multiply
    211,039x = 462,100 × 462,100
  4. Step 4: Simplify right side
    211,039x = 213,536,410,000
  5. Step 5: Solve for x
    x = 213,536,410,000/211,039
  6. Step 6: Final answer
    x = 1,011,833.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.