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Finding the Third Proportional to 443,474 and 664,526

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Solution

The third proportional to 443,474 and 664,526 is: 995,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,474 : 664,526 = 664,526 : x
  2. Step 2: Convert to fraction form
    443,474/664,526 = 664,526/x
  3. Step 3: Cross multiply
    443,474x = 664,526 × 664,526
  4. Step 4: Simplify right side
    443,474x = 441,594,804,676
  5. Step 5: Solve for x
    x = 441,594,804,676/443,474
  6. Step 6: Final answer
    x = 995,762.56

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