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Finding the Third Proportional to 344,032 and 521,238

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Solution

The third proportional to 344,032 and 521,238 is: 789,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,032 : 521,238 = 521,238 : x
  2. Step 2: Convert to fraction form
    344,032/521,238 = 521,238/x
  3. Step 3: Cross multiply
    344,032x = 521,238 × 521,238
  4. Step 4: Simplify right side
    344,032x = 271,689,052,644
  5. Step 5: Solve for x
    x = 271,689,052,644/344,032
  6. Step 6: Final answer
    x = 789,720.30

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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.