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Finding the Third Proportional to 404,832.94 and 605,019.38

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Solution

The third proportional to 404,832.94 and 605,019.38 is: 904,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,832.94 : 605,019.38 = 605,019.38 : x
  2. Step 2: Convert to fraction form
    404,832.94/605,019.38 = 605,019.38/x
  3. Step 3: Cross multiply
    404,832.94x = 605,019.38 × 605,019.38
  4. Step 4: Simplify right side
    404,832.94x = 366,048,444,125.39
  5. Step 5: Solve for x
    x = 366,048,444,125.39/404,832.94
  6. Step 6: Final answer
    x = 904,196.30

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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.