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Finding the Third Proportional to 420,228 and 628,857

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Solution

The third proportional to 420,228 and 628,857 is: 941,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,228 : 628,857 = 628,857 : x
  2. Step 2: Convert to fraction form
    420,228/628,857 = 628,857/x
  3. Step 3: Cross multiply
    420,228x = 628,857 × 628,857
  4. Step 4: Simplify right side
    420,228x = 395,461,126,449
  5. Step 5: Solve for x
    x = 395,461,126,449/420,228
  6. Step 6: Final answer
    x = 941,063.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.