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Finding the Third Proportional to 195,692 and 428,890

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Solution

The third proportional to 195,692 and 428,890 is: 939,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,692 : 428,890 = 428,890 : x
  2. Step 2: Convert to fraction form
    195,692/428,890 = 428,890/x
  3. Step 3: Cross multiply
    195,692x = 428,890 × 428,890
  4. Step 4: Simplify right side
    195,692x = 183,946,632,100
  5. Step 5: Solve for x
    x = 183,946,632,100/195,692
  6. Step 6: Final answer
    x = 939,980.34

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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.