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Finding the Third Proportional to 325,871 and 490,890

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Solution

The third proportional to 325,871 and 490,890 is: 739,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,871 : 490,890 = 490,890 : x
  2. Step 2: Convert to fraction form
    325,871/490,890 = 490,890/x
  3. Step 3: Cross multiply
    325,871x = 490,890 × 490,890
  4. Step 4: Simplify right side
    325,871x = 240,972,992,100
  5. Step 5: Solve for x
    x = 240,972,992,100/325,871
  6. Step 6: Final answer
    x = 739,473.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.