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Finding the Third Proportional to 404,626 and 628,672

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Solution

The third proportional to 404,626 and 628,672 is: 976,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,626 : 628,672 = 628,672 : x
  2. Step 2: Convert to fraction form
    404,626/628,672 = 628,672/x
  3. Step 3: Cross multiply
    404,626x = 628,672 × 628,672
  4. Step 4: Simplify right side
    404,626x = 395,228,483,584
  5. Step 5: Solve for x
    x = 395,228,483,584/404,626
  6. Step 6: Final answer
    x = 976,774.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.