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Finding the Third Proportional to 391,533 and 854,974.50

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Solution

The third proportional to 391,533 and 854,974.50 is: 1,866,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,533 : 854,974.50 = 854,974.50 : x
  2. Step 2: Convert to fraction form
    391,533/854,974.50 = 854,974.50/x
  3. Step 3: Cross multiply
    391,533x = 854,974.50 × 854,974.50
  4. Step 4: Simplify right side
    391,533x = 730,981,395,650.25
  5. Step 5: Solve for x
    x = 730,981,395,650.25/391,533
  6. Step 6: Final answer
    x = 1,866,972.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.