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Finding the Third Proportional to 523,657.88 and 800,704.31

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Solution

The third proportional to 523,657.88 and 800,704.31 is: 1,224,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,657.88 : 800,704.31 = 800,704.31 : x
  2. Step 2: Convert to fraction form
    523,657.88/800,704.31 = 800,704.31/x
  3. Step 3: Cross multiply
    523,657.88x = 800,704.31 × 800,704.31
  4. Step 4: Simplify right side
    523,657.88x = 641,127,396,056.10
  5. Step 5: Solve for x
    x = 641,127,396,056.10/523,657.88
  6. Step 6: Final answer
    x = 1,224,324.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.