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Finding the Third Proportional to 486,562 and 774,811

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Solution

The third proportional to 486,562 and 774,811 is: 1,233,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,562 : 774,811 = 774,811 : x
  2. Step 2: Convert to fraction form
    486,562/774,811 = 774,811/x
  3. Step 3: Cross multiply
    486,562x = 774,811 × 774,811
  4. Step 4: Simplify right side
    486,562x = 600,332,085,721
  5. Step 5: Solve for x
    x = 600,332,085,721/486,562
  6. Step 6: Final answer
    x = 1,233,824.44

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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.