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Finding the Third Proportional to 443,830 and 628,009

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Solution

The third proportional to 443,830 and 628,009 is: 888,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,830 : 628,009 = 628,009 : x
  2. Step 2: Convert to fraction form
    443,830/628,009 = 628,009/x
  3. Step 3: Cross multiply
    443,830x = 628,009 × 628,009
  4. Step 4: Simplify right side
    443,830x = 394,395,304,081
  5. Step 5: Solve for x
    x = 394,395,304,081/443,830
  6. Step 6: Final answer
    x = 888,617.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.