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Finding the Third Proportional to 377,198 and 808,327

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Solution

The third proportional to 377,198 and 808,327 is: 1,732,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,198 : 808,327 = 808,327 : x
  2. Step 2: Convert to fraction form
    377,198/808,327 = 808,327/x
  3. Step 3: Cross multiply
    377,198x = 808,327 × 808,327
  4. Step 4: Simplify right side
    377,198x = 653,392,538,929
  5. Step 5: Solve for x
    x = 653,392,538,929/377,198
  6. Step 6: Final answer
    x = 1,732,226.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.