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Finding the Third Proportional to 204,276 and 441,344

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Solution

The third proportional to 204,276 and 441,344 is: 953,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,276 : 441,344 = 441,344 : x
  2. Step 2: Convert to fraction form
    204,276/441,344 = 441,344/x
  3. Step 3: Cross multiply
    204,276x = 441,344 × 441,344
  4. Step 4: Simplify right side
    204,276x = 194,784,526,336
  5. Step 5: Solve for x
    x = 194,784,526,336/204,276
  6. Step 6: Final answer
    x = 953,536.03

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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.