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Finding the Third Proportional to 404,624 and 628,669

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Solution

The third proportional to 404,624 and 628,669 is: 976,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,624 : 628,669 = 628,669 : x
  2. Step 2: Convert to fraction form
    404,624/628,669 = 628,669/x
  3. Step 3: Cross multiply
    404,624x = 628,669 × 628,669
  4. Step 4: Simplify right side
    404,624x = 395,224,711,561
  5. Step 5: Solve for x
    x = 395,224,711,561/404,624
  6. Step 6: Final answer
    x = 976,770.31

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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.