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Finding the Third Proportional to 516,568 and 774,824

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Solution

The third proportional to 516,568 and 774,824 is: 1,162,194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,568 : 774,824 = 774,824 : x
  2. Step 2: Convert to fraction form
    516,568/774,824 = 774,824/x
  3. Step 3: Cross multiply
    516,568x = 774,824 × 774,824
  4. Step 4: Simplify right side
    516,568x = 600,352,230,976
  5. Step 5: Solve for x
    x = 600,352,230,976/516,568
  6. Step 6: Final answer
    x = 1,162,194.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.