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Finding the Third Proportional to 204,830 and 447,182

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Solution

The third proportional to 204,830 and 447,182 is: 976,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830 : 447,182 = 447,182 : x
  2. Step 2: Convert to fraction form
    204,830/447,182 = 447,182/x
  3. Step 3: Cross multiply
    204,830x = 447,182 × 447,182
  4. Step 4: Simplify right side
    204,830x = 199,971,741,124
  5. Step 5: Solve for x
    x = 199,971,741,124/204,830
  6. Step 6: Final answer
    x = 976,281.51

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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.