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Finding the Third Proportional to 404,967 and 628,674

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Solution

The third proportional to 404,967 and 628,674 is: 975,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,967 : 628,674 = 628,674 : x
  2. Step 2: Convert to fraction form
    404,967/628,674 = 628,674/x
  3. Step 3: Cross multiply
    404,967x = 628,674 × 628,674
  4. Step 4: Simplify right side
    404,967x = 395,230,998,276
  5. Step 5: Solve for x
    x = 395,230,998,276/404,967
  6. Step 6: Final answer
    x = 975,958.53

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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.