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Finding the Third Proportional to 224,989.31 and 475,270.88

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Solution

The third proportional to 224,989.31 and 475,270.88 is: 1,003,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,989.31 : 475,270.88 = 475,270.88 : x
  2. Step 2: Convert to fraction form
    224,989.31/475,270.88 = 475,270.88/x
  3. Step 3: Cross multiply
    224,989.31x = 475,270.88 × 475,270.88
  4. Step 4: Simplify right side
    224,989.31x = 225,882,404,623.27
  5. Step 5: Solve for x
    x = 225,882,404,623.27/224,989.31
  6. Step 6: Final answer
    x = 1,003,969.49

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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.