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Finding the Third Proportional to 211,417 and 323,824

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Solution

The third proportional to 211,417 and 323,824 is: 495,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,417 : 323,824 = 323,824 : x
  2. Step 2: Convert to fraction form
    211,417/323,824 = 323,824/x
  3. Step 3: Cross multiply
    211,417x = 323,824 × 323,824
  4. Step 4: Simplify right side
    211,417x = 104,861,982,976
  5. Step 5: Solve for x
    x = 104,861,982,976/211,417
  6. Step 6: Final answer
    x = 495,995.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.