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Finding the Third Proportional to 391,560.75 and 829,450.50

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Solution

The third proportional to 391,560.75 and 829,450.50 is: 1,757,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,560.75 : 829,450.50 = 829,450.50 : x
  2. Step 2: Convert to fraction form
    391,560.75/829,450.50 = 829,450.50/x
  3. Step 3: Cross multiply
    391,560.75x = 829,450.50 × 829,450.50
  4. Step 4: Simplify right side
    391,560.75x = 687,988,131,950.25
  5. Step 5: Solve for x
    x = 687,988,131,950.25/391,560.75
  6. Step 6: Final answer
    x = 1,757,040.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.