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Finding the Third Proportional to 404,847.25 and 605,039.63

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Solution

The third proportional to 404,847.25 and 605,039.63 is: 904,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,847.25 : 605,039.63 = 605,039.63 : x
  2. Step 2: Convert to fraction form
    404,847.25/605,039.63 = 605,039.63/x
  3. Step 3: Cross multiply
    404,847.25x = 605,039.63 × 605,039.63
  4. Step 4: Simplify right side
    404,847.25x = 366,072,947,820.14
  5. Step 5: Solve for x
    x = 366,072,947,820.14/404,847.25
  6. Step 6: Final answer
    x = 904,224.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.