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Finding the Third Proportional to 270,942 and 421,926

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Solution

The third proportional to 270,942 and 421,926 is: 657,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,942 : 421,926 = 421,926 : x
  2. Step 2: Convert to fraction form
    270,942/421,926 = 421,926/x
  3. Step 3: Cross multiply
    270,942x = 421,926 × 421,926
  4. Step 4: Simplify right side
    270,942x = 178,021,549,476
  5. Step 5: Solve for x
    x = 178,021,549,476/270,942
  6. Step 6: Final answer
    x = 657,046.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.