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Finding the Third Proportional to 550,589 and 1,219,094.50

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Solution

The third proportional to 550,589 and 1,219,094.50 is: 2,699,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,589 : 1,219,094.50 = 1,219,094.50 : x
  2. Step 2: Convert to fraction form
    550,589/1,219,094.50 = 1,219,094.50/x
  3. Step 3: Cross multiply
    550,589x = 1,219,094.50 × 1,219,094.50
  4. Step 4: Simplify right side
    550,589x = 1,486,191,399,930.25
  5. Step 5: Solve for x
    x = 1,486,191,399,930.25/550,589
  6. Step 6: Final answer
    x = 2,699,275.50

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.