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Finding the Third Proportional to 373,933.50 and 560,741

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Solution

The third proportional to 373,933.50 and 560,741 is: 840,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,933.50 : 560,741 = 560,741 : x
  2. Step 2: Convert to fraction form
    373,933.50/560,741 = 560,741/x
  3. Step 3: Cross multiply
    373,933.50x = 560,741 × 560,741
  4. Step 4: Simplify right side
    373,933.50x = 314,430,469,081
  5. Step 5: Solve for x
    x = 314,430,469,081/373,933.50
  6. Step 6: Final answer
    x = 840,872.69

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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.