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Finding the Third Proportional to 573,782.50 and 1,260,803

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Solution

The third proportional to 573,782.50 and 1,260,803 is: 2,770,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,782.50 : 1,260,803 = 1,260,803 : x
  2. Step 2: Convert to fraction form
    573,782.50/1,260,803 = 1,260,803/x
  3. Step 3: Cross multiply
    573,782.50x = 1,260,803 × 1,260,803
  4. Step 4: Simplify right side
    573,782.50x = 1,589,624,204,809
  5. Step 5: Solve for x
    x = 1,589,624,204,809/573,782.50
  6. Step 6: Final answer
    x = 2,770,429.92

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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.