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Finding the Third Proportional to 511,716 and 809,694

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Solution

The third proportional to 511,716 and 809,694 is: 1,281,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,716 : 809,694 = 809,694 : x
  2. Step 2: Convert to fraction form
    511,716/809,694 = 809,694/x
  3. Step 3: Cross multiply
    511,716x = 809,694 × 809,694
  4. Step 4: Simplify right side
    511,716x = 655,604,373,636
  5. Step 5: Solve for x
    x = 655,604,373,636/511,716
  6. Step 6: Final answer
    x = 1,281,187.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.