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Finding the Third Proportional to 508,733 and 809,800

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Solution

The third proportional to 508,733 and 809,800 is: 1,289,037.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,733 : 809,800 = 809,800 : x
  2. Step 2: Convert to fraction form
    508,733/809,800 = 809,800/x
  3. Step 3: Cross multiply
    508,733x = 809,800 × 809,800
  4. Step 4: Simplify right side
    508,733x = 655,776,040,000
  5. Step 5: Solve for x
    x = 655,776,040,000/508,733
  6. Step 6: Final answer
    x = 1,289,037.75

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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.