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Finding the Third Proportional to 493,224.75 and 739,834.88

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Solution

The third proportional to 493,224.75 and 739,834.88 is: 1,109,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,224.75 : 739,834.88 = 739,834.88 : x
  2. Step 2: Convert to fraction form
    493,224.75/739,834.88 = 739,834.88/x
  3. Step 3: Cross multiply
    493,224.75x = 739,834.88 × 739,834.88
  4. Step 4: Simplify right side
    493,224.75x = 547,355,642,266.27
  5. Step 5: Solve for x
    x = 547,355,642,266.27/493,224.75
  6. Step 6: Final answer
    x = 1,109,748.94

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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.