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Finding the Third Proportional to 195,634 and 428,771

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Solution

The third proportional to 195,634 and 428,771 is: 939,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,634 : 428,771 = 428,771 : x
  2. Step 2: Convert to fraction form
    195,634/428,771 = 428,771/x
  3. Step 3: Cross multiply
    195,634x = 428,771 × 428,771
  4. Step 4: Simplify right side
    195,634x = 183,844,570,441
  5. Step 5: Solve for x
    x = 183,844,570,441/195,634
  6. Step 6: Final answer
    x = 939,737.32

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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.