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Finding the Third Proportional to 499,369.50 and 782,523

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Solution

The third proportional to 499,369.50 and 782,523 is: 1,226,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,369.50 : 782,523 = 782,523 : x
  2. Step 2: Convert to fraction form
    499,369.50/782,523 = 782,523/x
  3. Step 3: Cross multiply
    499,369.50x = 782,523 × 782,523
  4. Step 4: Simplify right side
    499,369.50x = 612,342,245,529
  5. Step 5: Solve for x
    x = 612,342,245,529/499,369.50
  6. Step 6: Final answer
    x = 1,226,230.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.