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Finding the Third Proportional to 391,534.50 and 854,976

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Solution

The third proportional to 391,534.50 and 854,976 is: 1,866,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,534.50 : 854,976 = 854,976 : x
  2. Step 2: Convert to fraction form
    391,534.50/854,976 = 854,976/x
  3. Step 3: Cross multiply
    391,534.50x = 854,976 × 854,976
  4. Step 4: Simplify right side
    391,534.50x = 730,983,960,576
  5. Step 5: Solve for x
    x = 730,983,960,576/391,534.50
  6. Step 6: Final answer
    x = 1,866,972.03

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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.