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Finding the Third Proportional to 253,381.50 and 550,866

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Solution

The third proportional to 253,381.50 and 550,866 is: 1,197,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,381.50 : 550,866 = 550,866 : x
  2. Step 2: Convert to fraction form
    253,381.50/550,866 = 550,866/x
  3. Step 3: Cross multiply
    253,381.50x = 550,866 × 550,866
  4. Step 4: Simplify right side
    253,381.50x = 303,453,349,956
  5. Step 5: Solve for x
    x = 303,453,349,956/253,381.50
  6. Step 6: Final answer
    x = 1,197,614.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.