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Finding the Third Proportional to 342,936 and 534,036

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Solution

The third proportional to 342,936 and 534,036 is: 831,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,936 : 534,036 = 534,036 : x
  2. Step 2: Convert to fraction form
    342,936/534,036 = 534,036/x
  3. Step 3: Cross multiply
    342,936x = 534,036 × 534,036
  4. Step 4: Simplify right side
    342,936x = 285,194,449,296
  5. Step 5: Solve for x
    x = 285,194,449,296/342,936
  6. Step 6: Final answer
    x = 831,625.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.