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Finding the Third Proportional to 183,539 and 406,384

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Solution

The third proportional to 183,539 and 406,384 is: 899,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,539 : 406,384 = 406,384 : x
  2. Step 2: Convert to fraction form
    183,539/406,384 = 406,384/x
  3. Step 3: Cross multiply
    183,539x = 406,384 × 406,384
  4. Step 4: Simplify right side
    183,539x = 165,147,955,456
  5. Step 5: Solve for x
    x = 165,147,955,456/183,539
  6. Step 6: Final answer
    x = 899,797.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.