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Finding the Third Proportional to 204,504 and 477,630

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Solution

The third proportional to 204,504 and 477,630 is: 1,115,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,504 : 477,630 = 477,630 : x
  2. Step 2: Convert to fraction form
    204,504/477,630 = 477,630/x
  3. Step 3: Cross multiply
    204,504x = 477,630 × 477,630
  4. Step 4: Simplify right side
    204,504x = 228,130,416,900
  5. Step 5: Solve for x
    x = 228,130,416,900/204,504
  6. Step 6: Final answer
    x = 1,115,530.34

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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.