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Finding the Third Proportional to 224,804 and 481,495

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Solution

The third proportional to 224,804 and 481,495 is: 1,031,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,804 : 481,495 = 481,495 : x
  2. Step 2: Convert to fraction form
    224,804/481,495 = 481,495/x
  3. Step 3: Cross multiply
    224,804x = 481,495 × 481,495
  4. Step 4: Simplify right side
    224,804x = 231,837,435,025
  5. Step 5: Solve for x
    x = 231,837,435,025/224,804
  6. Step 6: Final answer
    x = 1,031,286.97

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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.