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Finding the Third Proportional to 204,523 and 477,680

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Solution

The third proportional to 204,523 and 477,680 is: 1,115,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,523 : 477,680 = 477,680 : x
  2. Step 2: Convert to fraction form
    204,523/477,680 = 477,680/x
  3. Step 3: Cross multiply
    204,523x = 477,680 × 477,680
  4. Step 4: Simplify right side
    204,523x = 228,178,182,400
  5. Step 5: Solve for x
    x = 228,178,182,400/204,523
  6. Step 6: Final answer
    x = 1,115,660.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.