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Finding the Third Proportional to 195,662 and 428,836

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Solution

The third proportional to 195,662 and 428,836 is: 939,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,662 : 428,836 = 428,836 : x
  2. Step 2: Convert to fraction form
    195,662/428,836 = 428,836/x
  3. Step 3: Cross multiply
    195,662x = 428,836 × 428,836
  4. Step 4: Simplify right side
    195,662x = 183,900,314,896
  5. Step 5: Solve for x
    x = 183,900,314,896/195,662
  6. Step 6: Final answer
    x = 939,887.74

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