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Finding the Third Proportional to 525,744 and 787,734

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Solution

The third proportional to 525,744 and 787,734 is: 1,180,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,744 : 787,734 = 787,734 : x
  2. Step 2: Convert to fraction form
    525,744/787,734 = 787,734/x
  3. Step 3: Cross multiply
    525,744x = 787,734 × 787,734
  4. Step 4: Simplify right side
    525,744x = 620,524,854,756
  5. Step 5: Solve for x
    x = 620,524,854,756/525,744
  6. Step 6: Final answer
    x = 1,180,279.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.