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Finding the Third Proportional to 344,028 and 521,232

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Solution

The third proportional to 344,028 and 521,232 is: 789,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,028 : 521,232 = 521,232 : x
  2. Step 2: Convert to fraction form
    344,028/521,232 = 521,232/x
  3. Step 3: Cross multiply
    344,028x = 521,232 × 521,232
  4. Step 4: Simplify right side
    344,028x = 271,682,797,824
  5. Step 5: Solve for x
    x = 271,682,797,824/344,028
  6. Step 6: Final answer
    x = 789,711.30

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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.