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Finding the Third Proportional to 431,943 and 595,425

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Solution

The third proportional to 431,943 and 595,425 is: 820,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,943 : 595,425 = 595,425 : x
  2. Step 2: Convert to fraction form
    431,943/595,425 = 595,425/x
  3. Step 3: Cross multiply
    431,943x = 595,425 × 595,425
  4. Step 4: Simplify right side
    431,943x = 354,530,930,625
  5. Step 5: Solve for x
    x = 354,530,930,625/431,943
  6. Step 6: Final answer
    x = 820,781.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.