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Finding the Third Proportional to 664,771.50 and 996,898.50

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Solution

The third proportional to 664,771.50 and 996,898.50 is: 1,494,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,771.50 : 996,898.50 = 996,898.50 : x
  2. Step 2: Convert to fraction form
    664,771.50/996,898.50 = 996,898.50/x
  3. Step 3: Cross multiply
    664,771.50x = 996,898.50 × 996,898.50
  4. Step 4: Simplify right side
    664,771.50x = 993,806,619,302.25
  5. Step 5: Solve for x
    x = 993,806,619,302.25/664,771.50
  6. Step 6: Final answer
    x = 1,494,959.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.