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Finding the Third Proportional to 315,628 and 443,955

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Solution

The third proportional to 315,628 and 443,955 is: 624,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,628 : 443,955 = 443,955 : x
  2. Step 2: Convert to fraction form
    315,628/443,955 = 443,955/x
  3. Step 3: Cross multiply
    315,628x = 443,955 × 443,955
  4. Step 4: Simplify right side
    315,628x = 197,096,042,025
  5. Step 5: Solve for x
    x = 197,096,042,025/315,628
  6. Step 6: Final answer
    x = 624,456.77

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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.