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Finding the Third Proportional to 377,768 and 821,997

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Solution

The third proportional to 377,768 and 821,997 is: 1,788,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,768 : 821,997 = 821,997 : x
  2. Step 2: Convert to fraction form
    377,768/821,997 = 821,997/x
  3. Step 3: Cross multiply
    377,768x = 821,997 × 821,997
  4. Step 4: Simplify right side
    377,768x = 675,679,068,009
  5. Step 5: Solve for x
    x = 675,679,068,009/377,768
  6. Step 6: Final answer
    x = 1,788,608.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.