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Finding the Third Proportional to 543,976.31 and 838,800.56

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Solution

The third proportional to 543,976.31 and 838,800.56 is: 1,293,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,976.31 : 838,800.56 = 838,800.56 : x
  2. Step 2: Convert to fraction form
    543,976.31/838,800.56 = 838,800.56/x
  3. Step 3: Cross multiply
    543,976.31x = 838,800.56 × 838,800.56
  4. Step 4: Simplify right side
    543,976.31x = 703,586,383,650.32
  5. Step 5: Solve for x
    x = 703,586,383,650.32/543,976.31
  6. Step 6: Final answer
    x = 1,293,413.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.