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Finding the Third Proportional to 664,465.50 and 996,493.50

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Solution

The third proportional to 664,465.50 and 996,493.50 is: 1,494,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,465.50 : 996,493.50 = 996,493.50 : x
  2. Step 2: Convert to fraction form
    664,465.50/996,493.50 = 996,493.50/x
  3. Step 3: Cross multiply
    664,465.50x = 996,493.50 × 996,493.50
  4. Step 4: Simplify right side
    664,465.50x = 992,999,295,542.25
  5. Step 5: Solve for x
    x = 992,999,295,542.25/664,465.50
  6. Step 6: Final answer
    x = 1,494,433.19

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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.