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Finding the Third Proportional to 524,373 and 809,741

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Solution

The third proportional to 524,373 and 809,741 is: 1,250,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,373 : 809,741 = 809,741 : x
  2. Step 2: Convert to fraction form
    524,373/809,741 = 809,741/x
  3. Step 3: Cross multiply
    524,373x = 809,741 × 809,741
  4. Step 4: Simplify right side
    524,373x = 655,680,487,081
  5. Step 5: Solve for x
    x = 655,680,487,081/524,373
  6. Step 6: Final answer
    x = 1,250,408.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.