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Finding the Third Proportional to 409,383 and 888,349

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Solution

The third proportional to 409,383 and 888,349 is: 1,927,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,383 : 888,349 = 888,349 : x
  2. Step 2: Convert to fraction form
    409,383/888,349 = 888,349/x
  3. Step 3: Cross multiply
    409,383x = 888,349 × 888,349
  4. Step 4: Simplify right side
    409,383x = 789,163,945,801
  5. Step 5: Solve for x
    x = 789,163,945,801/409,383
  6. Step 6: Final answer
    x = 1,927,691.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.