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Finding the Third Proportional to 268,614.43 and 406,380.48

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Solution

The third proportional to 268,614.43 and 406,380.48 is: 614,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,614.43 : 406,380.48 = 406,380.48 : x
  2. Step 2: Convert to fraction form
    268,614.43/406,380.48 = 406,380.48/x
  3. Step 3: Cross multiply
    268,614.43x = 406,380.48 × 406,380.48
  4. Step 4: Simplify right side
    268,614.43x = 165,145,094,906.01
  5. Step 5: Solve for x
    x = 165,145,094,906.01/268,614.43
  6. Step 6: Final answer
    x = 614,803.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.