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Finding the Third Proportional to 190,388 and 413,601

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Solution

The third proportional to 190,388 and 413,601 is: 898,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,388 : 413,601 = 413,601 : x
  2. Step 2: Convert to fraction form
    190,388/413,601 = 413,601/x
  3. Step 3: Cross multiply
    190,388x = 413,601 × 413,601
  4. Step 4: Simplify right side
    190,388x = 171,065,787,201
  5. Step 5: Solve for x
    x = 171,065,787,201/190,388
  6. Step 6: Final answer
    x = 898,511.39

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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.