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Finding the Third Proportional to 313,462 and 477,533

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Solution

The third proportional to 313,462 and 477,533 is: 727,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,462 : 477,533 = 477,533 : x
  2. Step 2: Convert to fraction form
    313,462/477,533 = 477,533/x
  3. Step 3: Cross multiply
    313,462x = 477,533 × 477,533
  4. Step 4: Simplify right side
    313,462x = 228,037,766,089
  5. Step 5: Solve for x
    x = 228,037,766,089/313,462
  6. Step 6: Final answer
    x = 727,481.37

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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.