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Finding the Third Proportional to 190,242 and 449,905

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Solution

The third proportional to 190,242 and 449,905 is: 1,063,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,242 : 449,905 = 449,905 : x
  2. Step 2: Convert to fraction form
    190,242/449,905 = 449,905/x
  3. Step 3: Cross multiply
    190,242x = 449,905 × 449,905
  4. Step 4: Simplify right side
    190,242x = 202,414,509,025
  5. Step 5: Solve for x
    x = 202,414,509,025/190,242
  6. Step 6: Final answer
    x = 1,063,984.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.