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Finding the Third Proportional to 523,646 and 800,698

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Solution

The third proportional to 523,646 and 800,698 is: 1,224,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,646 : 800,698 = 800,698 : x
  2. Step 2: Convert to fraction form
    523,646/800,698 = 800,698/x
  3. Step 3: Cross multiply
    523,646x = 800,698 × 800,698
  4. Step 4: Simplify right side
    523,646x = 641,117,287,204
  5. Step 5: Solve for x
    x = 641,117,287,204/523,646
  6. Step 6: Final answer
    x = 1,224,333.40

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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.