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Finding the Third Proportional to 278,005.50 and 610,139.25

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Solution

The third proportional to 278,005.50 and 610,139.25 is: 1,339,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,005.50 : 610,139.25 = 610,139.25 : x
  2. Step 2: Convert to fraction form
    278,005.50/610,139.25 = 610,139.25/x
  3. Step 3: Cross multiply
    278,005.50x = 610,139.25 × 610,139.25
  4. Step 4: Simplify right side
    278,005.50x = 372,269,904,390.56
  5. Step 5: Solve for x
    x = 372,269,904,390.56/278,005.50
  6. Step 6: Final answer
    x = 1,339,073.88

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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.