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Finding the Third Proportional to 297,586.41 and 425,379.09

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Solution

The third proportional to 297,586.41 and 425,379.09 is: 608,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,586.41 : 425,379.09 = 425,379.09 : x
  2. Step 2: Convert to fraction form
    297,586.41/425,379.09 = 425,379.09/x
  3. Step 3: Cross multiply
    297,586.41x = 425,379.09 × 425,379.09
  4. Step 4: Simplify right side
    297,586.41x = 180,947,373,399.57
  5. Step 5: Solve for x
    x = 180,947,373,399.57/297,586.41
  6. Step 6: Final answer
    x = 608,049.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.