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Finding the Third Proportional to 315,624 and 443,949

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Solution

The third proportional to 315,624 and 443,949 is: 624,447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,624 : 443,949 = 443,949 : x
  2. Step 2: Convert to fraction form
    315,624/443,949 = 443,949/x
  3. Step 3: Cross multiply
    315,624x = 443,949 × 443,949
  4. Step 4: Simplify right side
    315,624x = 197,090,714,601
  5. Step 5: Solve for x
    x = 197,090,714,601/315,624
  6. Step 6: Final answer
    x = 624,447.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.