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Finding the Third Proportional to 192,882 and 417,476

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Solution

The third proportional to 192,882 and 417,476 is: 903,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,882 : 417,476 = 417,476 : x
  2. Step 2: Convert to fraction form
    192,882/417,476 = 417,476/x
  3. Step 3: Cross multiply
    192,882x = 417,476 × 417,476
  4. Step 4: Simplify right side
    192,882x = 174,286,210,576
  5. Step 5: Solve for x
    x = 174,286,210,576/192,882
  6. Step 6: Final answer
    x = 903,589.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.