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Finding the Third Proportional to 366,933 and 773,763

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Solution

The third proportional to 366,933 and 773,763 is: 1,631,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,933 : 773,763 = 773,763 : x
  2. Step 2: Convert to fraction form
    366,933/773,763 = 773,763/x
  3. Step 3: Cross multiply
    366,933x = 773,763 × 773,763
  4. Step 4: Simplify right side
    366,933x = 598,709,180,169
  5. Step 5: Solve for x
    x = 598,709,180,169/366,933
  6. Step 6: Final answer
    x = 1,631,658.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.