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Finding the Third Proportional to 366,982 and 773,752

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Solution

The third proportional to 366,982 and 773,752 is: 1,631,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982 : 773,752 = 773,752 : x
  2. Step 2: Convert to fraction form
    366,982/773,752 = 773,752/x
  3. Step 3: Cross multiply
    366,982x = 773,752 × 773,752
  4. Step 4: Simplify right side
    366,982x = 598,692,157,504
  5. Step 5: Solve for x
    x = 598,692,157,504/366,982
  6. Step 6: Final answer
    x = 1,631,393.79

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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.