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Finding the Third Proportional to 475,000.45 and 699,942.52

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Solution

The third proportional to 475,000.45 and 699,942.52 is: 1,031,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,000.45 : 699,942.52 = 699,942.52 : x
  2. Step 2: Convert to fraction form
    475,000.45/699,942.52 = 699,942.52/x
  3. Step 3: Cross multiply
    475,000.45x = 699,942.52 × 699,942.52
  4. Step 4: Simplify right side
    475,000.45x = 489,919,525,179.45
  5. Step 5: Solve for x
    x = 489,919,525,179.45/475,000.45
  6. Step 6: Final answer
    x = 1,031,408.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.