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Finding the Third Proportional to 289,608 and 443,028

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Solution

The third proportional to 289,608 and 443,028 is: 677,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,608 : 443,028 = 443,028 : x
  2. Step 2: Convert to fraction form
    289,608/443,028 = 443,028/x
  3. Step 3: Cross multiply
    289,608x = 443,028 × 443,028
  4. Step 4: Simplify right side
    289,608x = 196,273,808,784
  5. Step 5: Solve for x
    x = 196,273,808,784/289,608
  6. Step 6: Final answer
    x = 677,722.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.