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Finding the Third Proportional to 675,769.50 and 1,201,296

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Solution

The third proportional to 675,769.50 and 1,201,296 is: 2,135,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,769.50 : 1,201,296 = 1,201,296 : x
  2. Step 2: Convert to fraction form
    675,769.50/1,201,296 = 1,201,296/x
  3. Step 3: Cross multiply
    675,769.50x = 1,201,296 × 1,201,296
  4. Step 4: Simplify right side
    675,769.50x = 1,443,112,079,616
  5. Step 5: Solve for x
    x = 1,443,112,079,616/675,769.50
  6. Step 6: Final answer
    x = 2,135,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.