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Finding the Third Proportional to 247,951.13 and 599,511.38

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Solution

The third proportional to 247,951.13 and 599,511.38 is: 1,449,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,951.13 : 599,511.38 = 599,511.38 : x
  2. Step 2: Convert to fraction form
    247,951.13/599,511.38 = 599,511.38/x
  3. Step 3: Cross multiply
    247,951.13x = 599,511.38 × 599,511.38
  4. Step 4: Simplify right side
    247,951.13x = 359,413,888,754.39
  5. Step 5: Solve for x
    x = 359,413,888,754.39/247,951.13
  6. Step 6: Final answer
    x = 1,449,535.22

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.