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Finding the Third Proportional to 224,742 and 481,466

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Solution

The third proportional to 224,742 and 481,466 is: 1,031,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742 : 481,466 = 481,466 : x
  2. Step 2: Convert to fraction form
    224,742/481,466 = 481,466/x
  3. Step 3: Cross multiply
    224,742x = 481,466 × 481,466
  4. Step 4: Simplify right side
    224,742x = 231,809,509,156
  5. Step 5: Solve for x
    x = 231,809,509,156/224,742
  6. Step 6: Final answer
    x = 1,031,447.21

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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.