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Finding the Third Proportional to 211,821 and 466,610

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Solution

The third proportional to 211,821 and 466,610 is: 1,027,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,821 : 466,610 = 466,610 : x
  2. Step 2: Convert to fraction form
    211,821/466,610 = 466,610/x
  3. Step 3: Cross multiply
    211,821x = 466,610 × 466,610
  4. Step 4: Simplify right side
    211,821x = 217,724,892,100
  5. Step 5: Solve for x
    x = 217,724,892,100/211,821
  6. Step 6: Final answer
    x = 1,027,872.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.