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Finding the Third Proportional to 301,732 and 628,256

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Solution

The third proportional to 301,732 and 628,256 is: 1,308,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,732 : 628,256 = 628,256 : x
  2. Step 2: Convert to fraction form
    301,732/628,256 = 628,256/x
  3. Step 3: Cross multiply
    301,732x = 628,256 × 628,256
  4. Step 4: Simplify right side
    301,732x = 394,705,601,536
  5. Step 5: Solve for x
    x = 394,705,601,536/301,732
  6. Step 6: Final answer
    x = 1,308,133.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.