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Finding the Third Proportional to 221,224.50 and 520,013.25

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Solution

The third proportional to 221,224.50 and 520,013.25 is: 1,222,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,224.50 : 520,013.25 = 520,013.25 : x
  2. Step 2: Convert to fraction form
    221,224.50/520,013.25 = 520,013.25/x
  3. Step 3: Cross multiply
    221,224.50x = 520,013.25 × 520,013.25
  4. Step 4: Simplify right side
    221,224.50x = 270,413,780,175.56
  5. Step 5: Solve for x
    x = 270,413,780,175.56/221,224.50
  6. Step 6: Final answer
    x = 1,222,350.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.