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Finding the Third Proportional to 190,033 and 412,921

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Solution

The third proportional to 190,033 and 412,921 is: 897,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,033 : 412,921 = 412,921 : x
  2. Step 2: Convert to fraction form
    190,033/412,921 = 412,921/x
  3. Step 3: Cross multiply
    190,033x = 412,921 × 412,921
  4. Step 4: Simplify right side
    190,033x = 170,503,752,241
  5. Step 5: Solve for x
    x = 170,503,752,241/190,033
  6. Step 6: Final answer
    x = 897,232.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.