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Finding the Third Proportional to 273,816 and 588,109.50

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Solution

The third proportional to 273,816 and 588,109.50 is: 1,263,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,816 : 588,109.50 = 588,109.50 : x
  2. Step 2: Convert to fraction form
    273,816/588,109.50 = 588,109.50/x
  3. Step 3: Cross multiply
    273,816x = 588,109.50 × 588,109.50
  4. Step 4: Simplify right side
    273,816x = 345,872,783,990.25
  5. Step 5: Solve for x
    x = 345,872,783,990.25/273,816
  6. Step 6: Final answer
    x = 1,263,157.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.