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Finding the Third Proportional to 204,403 and 477,434

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Solution

The third proportional to 204,403 and 477,434 is: 1,115,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,403 : 477,434 = 477,434 : x
  2. Step 2: Convert to fraction form
    204,403/477,434 = 477,434/x
  3. Step 3: Cross multiply
    204,403x = 477,434 × 477,434
  4. Step 4: Simplify right side
    204,403x = 227,943,224,356
  5. Step 5: Solve for x
    x = 227,943,224,356/204,403
  6. Step 6: Final answer
    x = 1,115,165.75

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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.