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Finding the Third Proportional to 190,755 and 407,592

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Solution

The third proportional to 190,755 and 407,592 is: 870,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,755 : 407,592 = 407,592 : x
  2. Step 2: Convert to fraction form
    190,755/407,592 = 407,592/x
  3. Step 3: Cross multiply
    190,755x = 407,592 × 407,592
  4. Step 4: Simplify right side
    190,755x = 166,131,238,464
  5. Step 5: Solve for x
    x = 166,131,238,464/190,755
  6. Step 6: Final answer
    x = 870,914.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.