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Finding the Third Proportional to 331,069 and 524,589

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Solution

The third proportional to 331,069 and 524,589 is: 831,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,069 : 524,589 = 524,589 : x
  2. Step 2: Convert to fraction form
    331,069/524,589 = 524,589/x
  3. Step 3: Cross multiply
    331,069x = 524,589 × 524,589
  4. Step 4: Simplify right side
    331,069x = 275,193,618,921
  5. Step 5: Solve for x
    x = 275,193,618,921/331,069
  6. Step 6: Final answer
    x = 831,227.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.