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Finding the Third Proportional to 534,028.50 and 826,611.50

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Solution

The third proportional to 534,028.50 and 826,611.50 is: 1,279,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,028.50 : 826,611.50 = 826,611.50 : x
  2. Step 2: Convert to fraction form
    534,028.50/826,611.50 = 826,611.50/x
  3. Step 3: Cross multiply
    534,028.50x = 826,611.50 × 826,611.50
  4. Step 4: Simplify right side
    534,028.50x = 683,286,571,932.25
  5. Step 5: Solve for x
    x = 683,286,571,932.25/534,028.50
  6. Step 6: Final answer
    x = 1,279,494.58

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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.