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Finding the Third Proportional to 224,604.56 and 487,140.75

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Solution

The third proportional to 224,604.56 and 487,140.75 is: 1,056,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,604.56 : 487,140.75 = 487,140.75 : x
  2. Step 2: Convert to fraction form
    224,604.56/487,140.75 = 487,140.75/x
  3. Step 3: Cross multiply
    224,604.56x = 487,140.75 × 487,140.75
  4. Step 4: Simplify right side
    224,604.56x = 237,306,110,310.56
  5. Step 5: Solve for x
    x = 237,306,110,310.56/224,604.56
  6. Step 6: Final answer
    x = 1,056,550.71

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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.