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Finding the Third Proportional to 263,180.50 and 578,837

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Solution

The third proportional to 263,180.50 and 578,837 is: 1,273,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,180.50 : 578,837 = 578,837 : x
  2. Step 2: Convert to fraction form
    263,180.50/578,837 = 578,837/x
  3. Step 3: Cross multiply
    263,180.50x = 578,837 × 578,837
  4. Step 4: Simplify right side
    263,180.50x = 335,052,272,569
  5. Step 5: Solve for x
    x = 335,052,272,569/263,180.50
  6. Step 6: Final answer
    x = 1,273,089.28

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Why These Related Problems?

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