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Finding the Third Proportional to 275,901.19 and 379,945.69

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Solution

The third proportional to 275,901.19 and 379,945.69 is: 523,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,901.19 : 379,945.69 = 379,945.69 : x
  2. Step 2: Convert to fraction form
    275,901.19/379,945.69 = 379,945.69/x
  3. Step 3: Cross multiply
    275,901.19x = 379,945.69 × 379,945.69
  4. Step 4: Simplify right side
    275,901.19x = 144,358,725,449.85
  5. Step 5: Solve for x
    x = 144,358,725,449.85/275,901.19
  6. Step 6: Final answer
    x = 523,226.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.