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Finding the Third Proportional to 211,512 and 457,872

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Solution

The third proportional to 211,512 and 457,872 is: 991,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,512 : 457,872 = 457,872 : x
  2. Step 2: Convert to fraction form
    211,512/457,872 = 457,872/x
  3. Step 3: Cross multiply
    211,512x = 457,872 × 457,872
  4. Step 4: Simplify right side
    211,512x = 209,646,768,384
  5. Step 5: Solve for x
    x = 209,646,768,384/211,512
  6. Step 6: Final answer
    x = 991,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.