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Finding the Third Proportional to 344,034 and 521,242

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Solution

The third proportional to 344,034 and 521,242 is: 789,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,034 : 521,242 = 521,242 : x
  2. Step 2: Convert to fraction form
    344,034/521,242 = 521,242/x
  3. Step 3: Cross multiply
    344,034x = 521,242 × 521,242
  4. Step 4: Simplify right side
    344,034x = 271,693,222,564
  5. Step 5: Solve for x
    x = 271,693,222,564/344,034
  6. Step 6: Final answer
    x = 789,727.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.