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Finding the Third Proportional to 404,514 and 628,084

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Solution

The third proportional to 404,514 and 628,084 is: 975,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,514 : 628,084 = 628,084 : x
  2. Step 2: Convert to fraction form
    404,514/628,084 = 628,084/x
  3. Step 3: Cross multiply
    404,514x = 628,084 × 628,084
  4. Step 4: Simplify right side
    404,514x = 394,489,511,056
  5. Step 5: Solve for x
    x = 394,489,511,056/404,514
  6. Step 6: Final answer
    x = 975,218.44

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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.