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Finding the Third Proportional to 325,069 and 431,446

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Solution

The third proportional to 325,069 and 431,446 is: 572,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,069 : 431,446 = 431,446 : x
  2. Step 2: Convert to fraction form
    325,069/431,446 = 431,446/x
  3. Step 3: Cross multiply
    325,069x = 431,446 × 431,446
  4. Step 4: Simplify right side
    325,069x = 186,145,650,916
  5. Step 5: Solve for x
    x = 186,145,650,916/325,069
  6. Step 6: Final answer
    x = 572,634.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.