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Finding the Third Proportional to 190,541 and 406,390

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Solution

The third proportional to 190,541 and 406,390 is: 866,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,541 : 406,390 = 406,390 : x
  2. Step 2: Convert to fraction form
    190,541/406,390 = 406,390/x
  3. Step 3: Cross multiply
    190,541x = 406,390 × 406,390
  4. Step 4: Simplify right side
    190,541x = 165,152,832,100
  5. Step 5: Solve for x
    x = 165,152,832,100/190,541
  6. Step 6: Final answer
    x = 866,757.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.