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Finding the Third Proportional to 523,662 and 800,721

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Solution

The third proportional to 523,662 and 800,721 is: 1,224,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,662 : 800,721 = 800,721 : x
  2. Step 2: Convert to fraction form
    523,662/800,721 = 800,721/x
  3. Step 3: Cross multiply
    523,662x = 800,721 × 800,721
  4. Step 4: Simplify right side
    523,662x = 641,154,119,841
  5. Step 5: Solve for x
    x = 641,154,119,841/523,662
  6. Step 6: Final answer
    x = 1,224,366.33

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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.