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Finding the Third Proportional to 664,474 and 996,506

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Solution

The third proportional to 664,474 and 996,506 is: 1,494,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,474 : 996,506 = 996,506 : x
  2. Step 2: Convert to fraction form
    664,474/996,506 = 996,506/x
  3. Step 3: Cross multiply
    664,474x = 996,506 × 996,506
  4. Step 4: Simplify right side
    664,474x = 993,024,208,036
  5. Step 5: Solve for x
    x = 993,024,208,036/664,474
  6. Step 6: Final answer
    x = 1,494,451.56

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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.