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Finding the Third Proportional to 204,525 and 441,718

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Solution

The third proportional to 204,525 and 441,718 is: 953,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,525 : 441,718 = 441,718 : x
  2. Step 2: Convert to fraction form
    204,525/441,718 = 441,718/x
  3. Step 3: Cross multiply
    204,525x = 441,718 × 441,718
  4. Step 4: Simplify right side
    204,525x = 195,114,791,524
  5. Step 5: Solve for x
    x = 195,114,791,524/204,525
  6. Step 6: Final answer
    x = 953,989.94

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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.