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Finding the Third Proportional to 483,019.75 and 1,049,077.50

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Solution

The third proportional to 483,019.75 and 1,049,077.50 is: 2,278,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,019.75 : 1,049,077.50 = 1,049,077.50 : x
  2. Step 2: Convert to fraction form
    483,019.75/1,049,077.50 = 1,049,077.50/x
  3. Step 3: Cross multiply
    483,019.75x = 1,049,077.50 × 1,049,077.50
  4. Step 4: Simplify right side
    483,019.75x = 1,100,563,601,006.25
  5. Step 5: Solve for x
    x = 1,100,563,601,006.25/483,019.75
  6. Step 6: Final answer
    x = 2,278,506.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.