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Finding the Third Proportional to 228,424 and 490,868

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Solution

The third proportional to 228,424 and 490,868 is: 1,054,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,424 : 490,868 = 490,868 : x
  2. Step 2: Convert to fraction form
    228,424/490,868 = 490,868/x
  3. Step 3: Cross multiply
    228,424x = 490,868 × 490,868
  4. Step 4: Simplify right side
    228,424x = 240,951,393,424
  5. Step 5: Solve for x
    x = 240,951,393,424/228,424
  6. Step 6: Final answer
    x = 1,054,842.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.