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Finding the Third Proportional to 541,240 and 769,296

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Solution

The third proportional to 541,240 and 769,296 is: 1,093,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,240 : 769,296 = 769,296 : x
  2. Step 2: Convert to fraction form
    541,240/769,296 = 769,296/x
  3. Step 3: Cross multiply
    541,240x = 769,296 × 769,296
  4. Step 4: Simplify right side
    541,240x = 591,816,335,616
  5. Step 5: Solve for x
    x = 591,816,335,616/541,240
  6. Step 6: Final answer
    x = 1,093,445.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.