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Finding the Third Proportional to 278,284.50 and 595,921.50

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Solution

The third proportional to 278,284.50 and 595,921.50 is: 1,276,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,284.50 : 595,921.50 = 595,921.50 : x
  2. Step 2: Convert to fraction form
    278,284.50/595,921.50 = 595,921.50/x
  3. Step 3: Cross multiply
    278,284.50x = 595,921.50 × 595,921.50
  4. Step 4: Simplify right side
    278,284.50x = 355,122,434,162.25
  5. Step 5: Solve for x
    x = 355,122,434,162.25/278,284.50
  6. Step 6: Final answer
    x = 1,276,112.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.