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Finding the Third Proportional to 224,715.50 and 481,415.50

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Solution

The third proportional to 224,715.50 and 481,415.50 is: 1,031,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,715.50 : 481,415.50 = 481,415.50 : x
  2. Step 2: Convert to fraction form
    224,715.50/481,415.50 = 481,415.50/x
  3. Step 3: Cross multiply
    224,715.50x = 481,415.50 × 481,415.50
  4. Step 4: Simplify right side
    224,715.50x = 231,760,883,640.25
  5. Step 5: Solve for x
    x = 231,760,883,640.25/224,715.50
  6. Step 6: Final answer
    x = 1,031,352.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.