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Finding the Third Proportional to 404,610 and 628,648

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Solution

The third proportional to 404,610 and 628,648 is: 976,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,610 : 628,648 = 628,648 : x
  2. Step 2: Convert to fraction form
    404,610/628,648 = 628,648/x
  3. Step 3: Cross multiply
    404,610x = 628,648 × 628,648
  4. Step 4: Simplify right side
    404,610x = 395,198,307,904
  5. Step 5: Solve for x
    x = 395,198,307,904/404,610
  6. Step 6: Final answer
    x = 976,738.85

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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.