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Finding the Third Proportional to 366,944 and 773,676

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Solution

The third proportional to 366,944 and 773,676 is: 1,631,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944 : 773,676 = 773,676 : x
  2. Step 2: Convert to fraction form
    366,944/773,676 = 773,676/x
  3. Step 3: Cross multiply
    366,944x = 773,676 × 773,676
  4. Step 4: Simplify right side
    366,944x = 598,574,552,976
  5. Step 5: Solve for x
    x = 598,574,552,976/366,944
  6. Step 6: Final answer
    x = 1,631,242.24

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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.