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Finding the Third Proportional to 253,619 and 599,780.50

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Solution

The third proportional to 253,619 and 599,780.50 is: 1,418,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,619 : 599,780.50 = 599,780.50 : x
  2. Step 2: Convert to fraction form
    253,619/599,780.50 = 599,780.50/x
  3. Step 3: Cross multiply
    253,619x = 599,780.50 × 599,780.50
  4. Step 4: Simplify right side
    253,619x = 359,736,648,180.25
  5. Step 5: Solve for x
    x = 359,736,648,180.25/253,619
  6. Step 6: Final answer
    x = 1,418,413.64

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.