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Finding the Third Proportional to 508,708.13 and 809,766

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Solution

The third proportional to 508,708.13 and 809,766 is: 1,288,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,708.13 : 809,766 = 809,766 : x
  2. Step 2: Convert to fraction form
    508,708.13/809,766 = 809,766/x
  3. Step 3: Cross multiply
    508,708.13x = 809,766 × 809,766
  4. Step 4: Simplify right side
    508,708.13x = 655,720,974,756
  5. Step 5: Solve for x
    x = 655,720,974,756/508,708.13
  6. Step 6: Final answer
    x = 1,288,992.53

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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.