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Finding the Third Proportional to 285,968 and 628,336

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Solution

The third proportional to 285,968 and 628,336 is: 1,380,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,968 : 628,336 = 628,336 : x
  2. Step 2: Convert to fraction form
    285,968/628,336 = 628,336/x
  3. Step 3: Cross multiply
    285,968x = 628,336 × 628,336
  4. Step 4: Simplify right side
    285,968x = 394,806,128,896
  5. Step 5: Solve for x
    x = 394,806,128,896/285,968
  6. Step 6: Final answer
    x = 1,380,595.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.