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Finding the Third Proportional to 298,104 and 443,104

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Solution

The third proportional to 298,104 and 443,104 is: 658,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,104 : 443,104 = 443,104 : x
  2. Step 2: Convert to fraction form
    298,104/443,104 = 443,104/x
  3. Step 3: Cross multiply
    298,104x = 443,104 × 443,104
  4. Step 4: Simplify right side
    298,104x = 196,341,154,816
  5. Step 5: Solve for x
    x = 196,341,154,816/298,104
  6. Step 6: Final answer
    x = 658,633.08

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Why These Related Problems?

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