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Finding the Third Proportional to 190,422 and 445,029

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Solution

The third proportional to 190,422 and 445,029 is: 1,040,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,422 : 445,029 = 445,029 : x
  2. Step 2: Convert to fraction form
    190,422/445,029 = 445,029/x
  3. Step 3: Cross multiply
    190,422x = 445,029 × 445,029
  4. Step 4: Simplify right side
    190,422x = 198,050,810,841
  5. Step 5: Solve for x
    x = 198,050,810,841/190,422
  6. Step 6: Final answer
    x = 1,040,062.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.