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Finding the Third Proportional to 304,951.50 and 644,234.44

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Solution

The third proportional to 304,951.50 and 644,234.44 is: 1,360,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,951.50 : 644,234.44 = 644,234.44 : x
  2. Step 2: Convert to fraction form
    304,951.50/644,234.44 = 644,234.44/x
  3. Step 3: Cross multiply
    304,951.50x = 644,234.44 × 644,234.44
  4. Step 4: Simplify right side
    304,951.50x = 415,038,010,460.94
  5. Step 5: Solve for x
    x = 415,038,010,460.94/304,951.50
  6. Step 6: Final answer
    x = 1,360,996.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.