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Finding the Third Proportional to 223,826 and 485,503

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Solution

The third proportional to 223,826 and 485,503 is: 1,053,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,826 : 485,503 = 485,503 : x
  2. Step 2: Convert to fraction form
    223,826/485,503 = 485,503/x
  3. Step 3: Cross multiply
    223,826x = 485,503 × 485,503
  4. Step 4: Simplify right side
    223,826x = 235,713,163,009
  5. Step 5: Solve for x
    x = 235,713,163,009/223,826
  6. Step 6: Final answer
    x = 1,053,108.95

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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.