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Finding the Third Proportional to 404,622 and 628,666

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Solution

The third proportional to 404,622 and 628,666 is: 976,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,622 : 628,666 = 628,666 : x
  2. Step 2: Convert to fraction form
    404,622/628,666 = 628,666/x
  3. Step 3: Cross multiply
    404,622x = 628,666 × 628,666
  4. Step 4: Simplify right side
    404,622x = 395,220,939,556
  5. Step 5: Solve for x
    x = 395,220,939,556/404,622
  6. Step 6: Final answer
    x = 976,765.82

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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.