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Finding the Third Proportional to 224,319 and 481,524

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Solution

The third proportional to 224,319 and 481,524 is: 1,033,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,319 : 481,524 = 481,524 : x
  2. Step 2: Convert to fraction form
    224,319/481,524 = 481,524/x
  3. Step 3: Cross multiply
    224,319x = 481,524 × 481,524
  4. Step 4: Simplify right side
    224,319x = 231,865,362,576
  5. Step 5: Solve for x
    x = 231,865,362,576/224,319
  6. Step 6: Final answer
    x = 1,033,641.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.