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Finding the Third Proportional to 258,800 and 569,728

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Solution

The third proportional to 258,800 and 569,728 is: 1,254,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,800 : 569,728 = 569,728 : x
  2. Step 2: Convert to fraction form
    258,800/569,728 = 569,728/x
  3. Step 3: Cross multiply
    258,800x = 569,728 × 569,728
  4. Step 4: Simplify right side
    258,800x = 324,589,993,984
  5. Step 5: Solve for x
    x = 324,589,993,984/258,800
  6. Step 6: Final answer
    x = 1,254,211.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.