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Finding the Third Proportional to 275,037.52 and 437,638.73

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Solution

The third proportional to 275,037.52 and 437,638.73 is: 696,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,037.52 : 437,638.73 = 437,638.73 : x
  2. Step 2: Convert to fraction form
    275,037.52/437,638.73 = 437,638.73/x
  3. Step 3: Cross multiply
    275,037.52x = 437,638.73 × 437,638.73
  4. Step 4: Simplify right side
    275,037.52x = 191,527,661,825.35
  5. Step 5: Solve for x
    x = 191,527,661,825.35/275,037.52
  6. Step 6: Final answer
    x = 696,369.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.