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Finding the Third Proportional to 221,640.75 and 459,047.25

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Solution

The third proportional to 221,640.75 and 459,047.25 is: 950,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640.75 : 459,047.25 = 459,047.25 : x
  2. Step 2: Convert to fraction form
    221,640.75/459,047.25 = 459,047.25/x
  3. Step 3: Cross multiply
    221,640.75x = 459,047.25 × 459,047.25
  4. Step 4: Simplify right side
    221,640.75x = 210,724,377,732.56
  5. Step 5: Solve for x
    x = 210,724,377,732.56/221,640.75
  6. Step 6: Final answer
    x = 950,747.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.