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Finding the Third Proportional to 211,828 and 441,080

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Solution

The third proportional to 211,828 and 441,080 is: 918,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,828 : 441,080 = 441,080 : x
  2. Step 2: Convert to fraction form
    211,828/441,080 = 441,080/x
  3. Step 3: Cross multiply
    211,828x = 441,080 × 441,080
  4. Step 4: Simplify right side
    211,828x = 194,551,566,400
  5. Step 5: Solve for x
    x = 194,551,566,400/211,828
  6. Step 6: Final answer
    x = 918,441.22

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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.