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Finding the Third Proportional to 190,426 and 445,039

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Solution

The third proportional to 190,426 and 445,039 is: 1,040,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,426 : 445,039 = 445,039 : x
  2. Step 2: Convert to fraction form
    190,426/445,039 = 445,039/x
  3. Step 3: Cross multiply
    190,426x = 445,039 × 445,039
  4. Step 4: Simplify right side
    190,426x = 198,059,711,521
  5. Step 5: Solve for x
    x = 198,059,711,521/190,426
  6. Step 6: Final answer
    x = 1,040,087.55

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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.