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Finding the Third Proportional to 259,935 and 380,890

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Solution

The third proportional to 259,935 and 380,890 is: 558,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,935 : 380,890 = 380,890 : x
  2. Step 2: Convert to fraction form
    259,935/380,890 = 380,890/x
  3. Step 3: Cross multiply
    259,935x = 380,890 × 380,890
  4. Step 4: Simplify right side
    259,935x = 145,077,192,100
  5. Step 5: Solve for x
    x = 145,077,192,100/259,935
  6. Step 6: Final answer
    x = 558,128.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.