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Finding the Third Proportional to 391,540.50 and 854,986.50

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Solution

The third proportional to 391,540.50 and 854,986.50 is: 1,866,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,540.50 : 854,986.50 = 854,986.50 : x
  2. Step 2: Convert to fraction form
    391,540.50/854,986.50 = 854,986.50/x
  3. Step 3: Cross multiply
    391,540.50x = 854,986.50 × 854,986.50
  4. Step 4: Simplify right side
    391,540.50x = 731,001,915,182.25
  5. Step 5: Solve for x
    x = 731,001,915,182.25/391,540.50
  6. Step 6: Final answer
    x = 1,866,989.28

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Why These Related Problems?

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