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Finding the Third Proportional to 224,105 and 485,548

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Solution

The third proportional to 224,105 and 485,548 is: 1,051,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,105 : 485,548 = 485,548 : x
  2. Step 2: Convert to fraction form
    224,105/485,548 = 485,548/x
  3. Step 3: Cross multiply
    224,105x = 485,548 × 485,548
  4. Step 4: Simplify right side
    224,105x = 235,756,860,304
  5. Step 5: Solve for x
    x = 235,756,860,304/224,105
  6. Step 6: Final answer
    x = 1,051,992.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.