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Finding the Third Proportional to 264,037 and 397,285.50

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Solution

The third proportional to 264,037 and 397,285.50 is: 597,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,037 : 397,285.50 = 397,285.50 : x
  2. Step 2: Convert to fraction form
    264,037/397,285.50 = 397,285.50/x
  3. Step 3: Cross multiply
    264,037x = 397,285.50 × 397,285.50
  4. Step 4: Simplify right side
    264,037x = 157,835,768,510.25
  5. Step 5: Solve for x
    x = 157,835,768,510.25/264,037
  6. Step 6: Final answer
    x = 597,778.98

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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.