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Finding the Third Proportional to 211,644 and 461,847

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Solution

The third proportional to 211,644 and 461,847 is: 1,007,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,644 : 461,847 = 461,847 : x
  2. Step 2: Convert to fraction form
    211,644/461,847 = 461,847/x
  3. Step 3: Cross multiply
    211,644x = 461,847 × 461,847
  4. Step 4: Simplify right side
    211,644x = 213,302,651,409
  5. Step 5: Solve for x
    x = 213,302,651,409/211,644
  6. Step 6: Final answer
    x = 1,007,836.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.