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Finding the Third Proportional to 500,660 and 774,758

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Solution

The third proportional to 500,660 and 774,758 is: 1,198,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,660 : 774,758 = 774,758 : x
  2. Step 2: Convert to fraction form
    500,660/774,758 = 774,758/x
  3. Step 3: Cross multiply
    500,660x = 774,758 × 774,758
  4. Step 4: Simplify right side
    500,660x = 600,249,958,564
  5. Step 5: Solve for x
    x = 600,249,958,564/500,660
  6. Step 6: Final answer
    x = 1,198,917.35

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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.