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Finding the Third Proportional to 204,817 and 445,583

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Solution

The third proportional to 204,817 and 445,583 is: 969,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,817 : 445,583 = 445,583 : x
  2. Step 2: Convert to fraction form
    204,817/445,583 = 445,583/x
  3. Step 3: Cross multiply
    204,817x = 445,583 × 445,583
  4. Step 4: Simplify right side
    204,817x = 198,544,209,889
  5. Step 5: Solve for x
    x = 198,544,209,889/204,817
  6. Step 6: Final answer
    x = 969,373.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.