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Finding the Third Proportional to 508,736 and 809,811

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Solution

The third proportional to 508,736 and 809,811 is: 1,289,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,736 : 809,811 = 809,811 : x
  2. Step 2: Convert to fraction form
    508,736/809,811 = 809,811/x
  3. Step 3: Cross multiply
    508,736x = 809,811 × 809,811
  4. Step 4: Simplify right side
    508,736x = 655,793,855,721
  5. Step 5: Solve for x
    x = 655,793,855,721/508,736
  6. Step 6: Final answer
    x = 1,289,065.16

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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.