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Finding the Third Proportional to 505,728 and 759,936

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Solution

The third proportional to 505,728 and 759,936 is: 1,141,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,728 : 759,936 = 759,936 : x
  2. Step 2: Convert to fraction form
    505,728/759,936 = 759,936/x
  3. Step 3: Cross multiply
    505,728x = 759,936 × 759,936
  4. Step 4: Simplify right side
    505,728x = 577,502,724,096
  5. Step 5: Solve for x
    x = 577,502,724,096/505,728
  6. Step 6: Final answer
    x = 1,141,923.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.