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Finding the Third Proportional to 211,341 and 461,868

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Solution

The third proportional to 211,341 and 461,868 is: 1,009,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,341 : 461,868 = 461,868 : x
  2. Step 2: Convert to fraction form
    211,341/461,868 = 461,868/x
  3. Step 3: Cross multiply
    211,341x = 461,868 × 461,868
  4. Step 4: Simplify right side
    211,341x = 213,322,049,424
  5. Step 5: Solve for x
    x = 213,322,049,424/211,341
  6. Step 6: Final answer
    x = 1,009,373.71

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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.