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Finding the Third Proportional to 224,782.50 and 481,626

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Solution

The third proportional to 224,782.50 and 481,626 is: 1,031,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,782.50 : 481,626 = 481,626 : x
  2. Step 2: Convert to fraction form
    224,782.50/481,626 = 481,626/x
  3. Step 3: Cross multiply
    224,782.50x = 481,626 × 481,626
  4. Step 4: Simplify right side
    224,782.50x = 231,963,603,876
  5. Step 5: Solve for x
    x = 231,963,603,876/224,782.50
  6. Step 6: Final answer
    x = 1,031,946.90

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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.