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Finding the Third Proportional to 395,950 and 866,728

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Solution

The third proportional to 395,950 and 866,728 is: 1,897,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,950 : 866,728 = 866,728 : x
  2. Step 2: Convert to fraction form
    395,950/866,728 = 866,728/x
  3. Step 3: Cross multiply
    395,950x = 866,728 × 866,728
  4. Step 4: Simplify right side
    395,950x = 751,217,425,984
  5. Step 5: Solve for x
    x = 751,217,425,984/395,950
  6. Step 6: Final answer
    x = 1,897,253.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.