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Finding the Third Proportional to 233,784 and 496,728

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Solution

The third proportional to 233,784 and 496,728 is: 1,055,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,784 : 496,728 = 496,728 : x
  2. Step 2: Convert to fraction form
    233,784/496,728 = 496,728/x
  3. Step 3: Cross multiply
    233,784x = 496,728 × 496,728
  4. Step 4: Simplify right side
    233,784x = 246,738,705,984
  5. Step 5: Solve for x
    x = 246,738,705,984/233,784
  6. Step 6: Final answer
    x = 1,055,413.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.