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Finding the Third Proportional to 211,686 and 452,487

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Solution

The third proportional to 211,686 and 452,487 is: 967,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,686 : 452,487 = 452,487 : x
  2. Step 2: Convert to fraction form
    211,686/452,487 = 452,487/x
  3. Step 3: Cross multiply
    211,686x = 452,487 × 452,487
  4. Step 4: Simplify right side
    211,686x = 204,744,485,169
  5. Step 5: Solve for x
    x = 204,744,485,169/211,686
  6. Step 6: Final answer
    x = 967,208.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.