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Finding the Third Proportional to 315,622 and 443,946

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Solution

The third proportional to 315,622 and 443,946 is: 624,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,622 : 443,946 = 443,946 : x
  2. Step 2: Convert to fraction form
    315,622/443,946 = 443,946/x
  3. Step 3: Cross multiply
    315,622x = 443,946 × 443,946
  4. Step 4: Simplify right side
    315,622x = 197,088,050,916
  5. Step 5: Solve for x
    x = 197,088,050,916/315,622
  6. Step 6: Final answer
    x = 624,443.32

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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.