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Finding the Third Proportional to 212,713 and 329,327

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Solution

The third proportional to 212,713 and 329,327 is: 509,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,713 : 329,327 = 329,327 : x
  2. Step 2: Convert to fraction form
    212,713/329,327 = 329,327/x
  3. Step 3: Cross multiply
    212,713x = 329,327 × 329,327
  4. Step 4: Simplify right side
    212,713x = 108,456,272,929
  5. Step 5: Solve for x
    x = 108,456,272,929/212,713
  6. Step 6: Final answer
    x = 509,871.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.