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Finding the Third Proportional to 366,640 and 766,764

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Solution

The third proportional to 366,640 and 766,764 is: 1,603,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,640 : 766,764 = 766,764 : x
  2. Step 2: Convert to fraction form
    366,640/766,764 = 766,764/x
  3. Step 3: Cross multiply
    366,640x = 766,764 × 766,764
  4. Step 4: Simplify right side
    366,640x = 587,927,031,696
  5. Step 5: Solve for x
    x = 587,927,031,696/366,640
  6. Step 6: Final answer
    x = 1,603,553.98

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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.