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Finding the Third Proportional to 385,997 and 850,524

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Solution

The third proportional to 385,997 and 850,524 is: 1,874,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,997 : 850,524 = 850,524 : x
  2. Step 2: Convert to fraction form
    385,997/850,524 = 850,524/x
  3. Step 3: Cross multiply
    385,997x = 850,524 × 850,524
  4. Step 4: Simplify right side
    385,997x = 723,391,074,576
  5. Step 5: Solve for x
    x = 723,391,074,576/385,997
  6. Step 6: Final answer
    x = 1,874,084.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.