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Finding the Third Proportional to 342,361 and 534,268

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Solution

The third proportional to 342,361 and 534,268 is: 833,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,361 : 534,268 = 534,268 : x
  2. Step 2: Convert to fraction form
    342,361/534,268 = 534,268/x
  3. Step 3: Cross multiply
    342,361x = 534,268 × 534,268
  4. Step 4: Simplify right side
    342,361x = 285,442,295,824
  5. Step 5: Solve for x
    x = 285,442,295,824/342,361
  6. Step 6: Final answer
    x = 833,746.53

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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.