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Finding the Third Proportional to 204,548 and 447,376

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Solution

The third proportional to 204,548 and 447,376 is: 978,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548 : 447,376 = 447,376 : x
  2. Step 2: Convert to fraction form
    204,548/447,376 = 447,376/x
  3. Step 3: Cross multiply
    204,548x = 447,376 × 447,376
  4. Step 4: Simplify right side
    204,548x = 200,145,285,376
  5. Step 5: Solve for x
    x = 200,145,285,376/204,548
  6. Step 6: Final answer
    x = 978,475.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.