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Finding the Third Proportional to 329,836.50 and 493,890.75

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Solution

The third proportional to 329,836.50 and 493,890.75 is: 739,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,836.50 : 493,890.75 = 493,890.75 : x
  2. Step 2: Convert to fraction form
    329,836.50/493,890.75 = 493,890.75/x
  3. Step 3: Cross multiply
    329,836.50x = 493,890.75 × 493,890.75
  4. Step 4: Simplify right side
    329,836.50x = 243,928,072,935.56
  5. Step 5: Solve for x
    x = 243,928,072,935.56/329,836.50
  6. Step 6: Final answer
    x = 739,542.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.