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Finding the Third Proportional to 536,960 and 789,824

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Solution

The third proportional to 536,960 and 789,824 is: 1,161,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,960 : 789,824 = 789,824 : x
  2. Step 2: Convert to fraction form
    536,960/789,824 = 789,824/x
  3. Step 3: Cross multiply
    536,960x = 789,824 × 789,824
  4. Step 4: Simplify right side
    536,960x = 623,821,950,976
  5. Step 5: Solve for x
    x = 623,821,950,976/536,960
  6. Step 6: Final answer
    x = 1,161,766.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.