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Finding the Third Proportional to 229,245 and 503,868

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Solution

The third proportional to 229,245 and 503,868 is: 1,107,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,245 : 503,868 = 503,868 : x
  2. Step 2: Convert to fraction form
    229,245/503,868 = 503,868/x
  3. Step 3: Cross multiply
    229,245x = 503,868 × 503,868
  4. Step 4: Simplify right side
    229,245x = 253,882,961,424
  5. Step 5: Solve for x
    x = 253,882,961,424/229,245
  6. Step 6: Final answer
    x = 1,107,474.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.