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Finding the Third Proportional to 313,456 and 477,524

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Solution

The third proportional to 313,456 and 477,524 is: 727,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,456 : 477,524 = 477,524 : x
  2. Step 2: Convert to fraction form
    313,456/477,524 = 477,524/x
  3. Step 3: Cross multiply
    313,456x = 477,524 × 477,524
  4. Step 4: Simplify right side
    313,456x = 228,029,170,576
  5. Step 5: Solve for x
    x = 228,029,170,576/313,456
  6. Step 6: Final answer
    x = 727,467.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.