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Finding the Third Proportional to 216,974 and 444,519

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Solution

The third proportional to 216,974 and 444,519 is: 910,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,974 : 444,519 = 444,519 : x
  2. Step 2: Convert to fraction form
    216,974/444,519 = 444,519/x
  3. Step 3: Cross multiply
    216,974x = 444,519 × 444,519
  4. Step 4: Simplify right side
    216,974x = 197,597,141,361
  5. Step 5: Solve for x
    x = 197,597,141,361/216,974
  6. Step 6: Final answer
    x = 910,695.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.