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Finding the Third Proportional to 226,725.75 and 494,275.50

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Solution

The third proportional to 226,725.75 and 494,275.50 is: 1,077,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,725.75 : 494,275.50 = 494,275.50 : x
  2. Step 2: Convert to fraction form
    226,725.75/494,275.50 = 494,275.50/x
  3. Step 3: Cross multiply
    226,725.75x = 494,275.50 × 494,275.50
  4. Step 4: Simplify right side
    226,725.75x = 244,308,269,900.25
  5. Step 5: Solve for x
    x = 244,308,269,900.25/226,725.75
  6. Step 6: Final answer
    x = 1,077,549.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.