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Finding the Third Proportional to 211,529 and 461,644

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Solution

The third proportional to 211,529 and 461,644 is: 1,007,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,529 : 461,644 = 461,644 : x
  2. Step 2: Convert to fraction form
    211,529/461,644 = 461,644/x
  3. Step 3: Cross multiply
    211,529x = 461,644 × 461,644
  4. Step 4: Simplify right side
    211,529x = 213,115,182,736
  5. Step 5: Solve for x
    x = 213,115,182,736/211,529
  6. Step 6: Final answer
    x = 1,007,498.65

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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.