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Finding the Third Proportional to 298,816 and 443,984

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Solution

The third proportional to 298,816 and 443,984 is: 659,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,816 : 443,984 = 443,984 : x
  2. Step 2: Convert to fraction form
    298,816/443,984 = 443,984/x
  3. Step 3: Cross multiply
    298,816x = 443,984 × 443,984
  4. Step 4: Simplify right side
    298,816x = 197,121,792,256
  5. Step 5: Solve for x
    x = 197,121,792,256/298,816
  6. Step 6: Final answer
    x = 659,676.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.