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Finding the Third Proportional to 190,033 and 410,517

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Solution

The third proportional to 190,033 and 410,517 is: 886,815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,033 : 410,517 = 410,517 : x
  2. Step 2: Convert to fraction form
    190,033/410,517 = 410,517/x
  3. Step 3: Cross multiply
    190,033x = 410,517 × 410,517
  4. Step 4: Simplify right side
    190,033x = 168,524,207,289
  5. Step 5: Solve for x
    x = 168,524,207,289/190,033
  6. Step 6: Final answer
    x = 886,815.49

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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.