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Finding the Third Proportional to 204,439 and 477,533

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Solution

The third proportional to 204,439 and 477,533 is: 1,115,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,439 : 477,533 = 477,533 : x
  2. Step 2: Convert to fraction form
    204,439/477,533 = 477,533/x
  3. Step 3: Cross multiply
    204,439x = 477,533 × 477,533
  4. Step 4: Simplify right side
    204,439x = 228,037,766,089
  5. Step 5: Solve for x
    x = 228,037,766,089/204,439
  6. Step 6: Final answer
    x = 1,115,431.82

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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.