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Finding the Third Proportional to 394,682 and 595,575

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Solution

The third proportional to 394,682 and 595,575 is: 898,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,682 : 595,575 = 595,575 : x
  2. Step 2: Convert to fraction form
    394,682/595,575 = 595,575/x
  3. Step 3: Cross multiply
    394,682x = 595,575 × 595,575
  4. Step 4: Simplify right side
    394,682x = 354,709,580,625
  5. Step 5: Solve for x
    x = 354,709,580,625/394,682
  6. Step 6: Final answer
    x = 898,722.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.