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Finding the Third Proportional to 224,502.75 and 474,293.25

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Solution

The third proportional to 224,502.75 and 474,293.25 is: 1,002,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,502.75 : 474,293.25 = 474,293.25 : x
  2. Step 2: Convert to fraction form
    224,502.75/474,293.25 = 474,293.25/x
  3. Step 3: Cross multiply
    224,502.75x = 474,293.25 × 474,293.25
  4. Step 4: Simplify right side
    224,502.75x = 224,954,086,995.56
  5. Step 5: Solve for x
    x = 224,954,086,995.56/224,502.75
  6. Step 6: Final answer
    x = 1,002,010.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.