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Finding the Third Proportional to 190,539 and 406,386

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Solution

The third proportional to 190,539 and 406,386 is: 866,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,539 : 406,386 = 406,386 : x
  2. Step 2: Convert to fraction form
    190,539/406,386 = 406,386/x
  3. Step 3: Cross multiply
    190,539x = 406,386 × 406,386
  4. Step 4: Simplify right side
    190,539x = 165,149,580,996
  5. Step 5: Solve for x
    x = 165,149,580,996/190,539
  6. Step 6: Final answer
    x = 866,749.49

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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.