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Finding the Third Proportional to 508,749 and 809,824

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Solution

The third proportional to 508,749 and 809,824 is: 1,289,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,749 : 809,824 = 809,824 : x
  2. Step 2: Convert to fraction form
    508,749/809,824 = 809,824/x
  3. Step 3: Cross multiply
    508,749x = 809,824 × 809,824
  4. Step 4: Simplify right side
    508,749x = 655,814,910,976
  5. Step 5: Solve for x
    x = 655,814,910,976/508,749
  6. Step 6: Final answer
    x = 1,289,073.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.