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Finding the Third Proportional to 366,564 and 766,626

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Solution

The third proportional to 366,564 and 766,626 is: 1,603,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,564 : 766,626 = 766,626 : x
  2. Step 2: Convert to fraction form
    366,564/766,626 = 766,626/x
  3. Step 3: Cross multiply
    366,564x = 766,626 × 766,626
  4. Step 4: Simplify right side
    366,564x = 587,715,423,876
  5. Step 5: Solve for x
    x = 587,715,423,876/366,564
  6. Step 6: Final answer
    x = 1,603,309.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.