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Finding the Third Proportional to 523,666 and 800,731

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Solution

The third proportional to 523,666 and 800,731 is: 1,224,387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,666 : 800,731 = 800,731 : x
  2. Step 2: Convert to fraction form
    523,666/800,731 = 800,731/x
  3. Step 3: Cross multiply
    523,666x = 800,731 × 800,731
  4. Step 4: Simplify right side
    523,666x = 641,170,134,361
  5. Step 5: Solve for x
    x = 641,170,134,361/523,666
  6. Step 6: Final answer
    x = 1,224,387.56

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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.