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Finding the Third Proportional to 216,974.63 and 444,519.38

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Solution

The third proportional to 216,974.63 and 444,519.38 is: 910,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,974.63 : 444,519.38 = 444,519.38 : x
  2. Step 2: Convert to fraction form
    216,974.63/444,519.38 = 444,519.38/x
  3. Step 3: Cross multiply
    216,974.63x = 444,519.38 × 444,519.38
  4. Step 4: Simplify right side
    216,974.63x = 197,597,474,750.39
  5. Step 5: Solve for x
    x = 197,597,474,750.39/216,974.63
  6. Step 6: Final answer
    x = 910,693.93

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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.