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Finding the Third Proportional to 313,400 and 477,443

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Solution

The third proportional to 313,400 and 477,443 is: 727,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400 : 477,443 = 477,443 : x
  2. Step 2: Convert to fraction form
    313,400/477,443 = 477,443/x
  3. Step 3: Cross multiply
    313,400x = 477,443 × 477,443
  4. Step 4: Simplify right side
    313,400x = 227,951,818,249
  5. Step 5: Solve for x
    x = 227,951,818,249/313,400
  6. Step 6: Final answer
    x = 727,351.05

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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.