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Finding the Third Proportional to 190,541 and 406,395

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Solution

The third proportional to 190,541 and 406,395 is: 866,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,541 : 406,395 = 406,395 : x
  2. Step 2: Convert to fraction form
    190,541/406,395 = 406,395/x
  3. Step 3: Cross multiply
    190,541x = 406,395 × 406,395
  4. Step 4: Simplify right side
    190,541x = 165,156,896,025
  5. Step 5: Solve for x
    x = 165,156,896,025/190,541
  6. Step 6: Final answer
    x = 866,778.78

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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.