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Finding the Third Proportional to 500,669 and 774,759

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Solution

The third proportional to 500,669 and 774,759 is: 1,198,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,669 : 774,759 = 774,759 : x
  2. Step 2: Convert to fraction form
    500,669/774,759 = 774,759/x
  3. Step 3: Cross multiply
    500,669x = 774,759 × 774,759
  4. Step 4: Simplify right side
    500,669x = 600,251,508,081
  5. Step 5: Solve for x
    x = 600,251,508,081/500,669
  6. Step 6: Final answer
    x = 1,198,898.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.