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Finding the Third Proportional to 190,424 and 445,034

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Solution

The third proportional to 190,424 and 445,034 is: 1,040,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,424 : 445,034 = 445,034 : x
  2. Step 2: Convert to fraction form
    190,424/445,034 = 445,034/x
  3. Step 3: Cross multiply
    190,424x = 445,034 × 445,034
  4. Step 4: Simplify right side
    190,424x = 198,055,261,156
  5. Step 5: Solve for x
    x = 198,055,261,156/190,424
  6. Step 6: Final answer
    x = 1,040,075.10

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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.