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Finding the Third Proportional to 278,059.50 and 610,260.75

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Solution

The third proportional to 278,059.50 and 610,260.75 is: 1,339,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,059.50 : 610,260.75 = 610,260.75 : x
  2. Step 2: Convert to fraction form
    278,059.50/610,260.75 = 610,260.75/x
  3. Step 3: Cross multiply
    278,059.50x = 610,260.75 × 610,260.75
  4. Step 4: Simplify right side
    278,059.50x = 372,418,182,990.56
  5. Step 5: Solve for x
    x = 372,418,182,990.56/278,059.50
  6. Step 6: Final answer
    x = 1,339,347.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.