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Finding the Third Proportional to 523,764 and 800,865

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Solution

The third proportional to 523,764 and 800,865 is: 1,224,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,764 : 800,865 = 800,865 : x
  2. Step 2: Convert to fraction form
    523,764/800,865 = 800,865/x
  3. Step 3: Cross multiply
    523,764x = 800,865 × 800,865
  4. Step 4: Simplify right side
    523,764x = 641,384,748,225
  5. Step 5: Solve for x
    x = 641,384,748,225/523,764
  6. Step 6: Final answer
    x = 1,224,568.22

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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.